Zoltek Corporation v. United States ( 2014 )


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  •                In the United States Court of Federal Claims
    No. 96-166 C
    (Filed: March 31, 2014)
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    ZOLTEK CORPORATION,                    *
    *
    Plaintiff,           *
    v.                               *
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    THE UNITED STATES,                     *
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    Defendant.           *
    *
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    OPINION AND ORDER
    This matter is before the Court following a three-day trial on the issue of validity of
    United States Patent Reissue No. 34,162 (the “‘162 Patent”).1 During trial, the Government
    presented evidence which, it contends, renders the ‘162 Patent invalid under three distinct legal
    theories: the patent does not cover patent-eligible subject matter under 
    35 U.S.C. § 101
    , the
    patent is obvious under 
    35 U.S.C. § 103
    , and the patent lacks adequate written description under
    
    35 U.S.C. § 112
    , ¶ 1.
    As explained below, the Court is not persuaded by the Government’s subject matter
    argument under 
    35 U.S.C. § 101
    . The Court is, however, convinced that claims 1-22 and 33-38
    (all of the claims asserted in this matter) are invalid both for obviousness under 
    35 U.S.C. § 103
    and written description under § 112. The Court therefore directs entry of judgment in favor of
    the Government.
    I.    Background
    For purposes of this background, the Court will present only a very broad background of
    the case—both factually and procedurally. Because the Government has presented three distinct
    1
    The ‘162 Patent appears in the trial record as Joint Exhibit 1. For purposes of clarity, because
    the ‘162 Patent is referenced often in this opinion, the Court will refer to the ‘162 Patent directly.
    When referencing other exhibits, the Court will generally use the following short-hand: JX
    means Joint Exhibit Number X, PY means Plaintiff’s Exhibit Number Y, and DZ means
    Defendant’s Exhibit Number Z.
    challenges to the validity of the ‘162 Patent, the Court will introduce the more detailed facts
    relevant to each legal theory in its discussion of those theories.
    a. Factual Background
    Plaintiff, Zoltek Corporation (“Zoltek”), brought this patent suit on March 25, 1996. The
    case concerns the Government’s alleged infringement, by and through the Department of the Air
    Force, of the ‘162 Patent, which Zoltek owns. The factual background of this matter is set forth
    in numerous prior opinions. See, e.g., Zoltek Corp. v. United States, 
    86 Fed.Cl. 738
    , 739-42
    (2009); 
    85 Fed.Cl. 409
    , 411 (2009); 
    71 Fed.Cl. 160
    , 161-64 (2006); 
    61 Fed.Cl. 12
    , 14-15 (2004);
    
    58 Fed.Cl. 688
    , 689-91 (2003); 
    51 Fed.Cl. 829
    , 830-32 (2002); 
    48 Fed.Cl. 290
    , 292 (2000).
    These factual underpinnings are, of course, heavily supplemented by the facts derived from trial.
    As the case now stands, Zoltek alleges that the United States has infringed the ‘162 Patent
    through its development and production of the B-2 Bomber and the F-22 Raptor.
    The ‘162 Patent is a reissue of United States Patent No. 4,728,395 (the “‘395 Patent”).
    Joint Exhibit (“J”) 1.1. The ‘395 Patent was issued on March 1, 1988 from an application filed
    by George Boyd on October 12, 1984. At the time of filing, Mr. Boyd was employed by
    Stackpole Fibers Co., Inc. Stackpole was the original assignee of the ‘395 Patent, but Zoltek
    acquired Stackpole in 1988 and subsequently took assignment of the ‘162 Patent.
    It suffices here to say that the ‘162 Patent describes a process for manufacturing carbon
    fiber sheet products with controlled surface electrical resistivity. Zoltek Corp. v. United States,
    
    48 Fed.Cl. 290
    , 292 (2000). Claim 1 is representative:
    A method of manufacturing a plurality of different value controlled
    resistivity carbon fiber sheet products employing a carbonizable starting
    material; said method comprising [oxidizing and stabilizing the
    carbonizable fiber starting material at an elevated temperature of the order
    of 220 degrees Centigrade to effect aromatic rearrangement of the fibers,]
    selectively partially carbonizing [the] previously oxidized and stabilized
    fiber starting material for a predetermined period in an oxygen free
    atmosphere within a furnace at [a] selected temperature values within a
    temperature range from 370 degrees Centigrade to about 1300 degree
    Centigrade by soaking the stabilized fiber starting material at the selected
    temperature for the predetermined period of time to provide a [desired]
    preselected known volume electrical resistivity to the partially carbonized
    fibers corresponding to that volume electrical resistivity value required to
    provide the preselected desired surface resistance value for the finished
    sheet products, and thereafter processing the partially carbonized fibers
    into [desired electrical resistivity] homogeneous carbon fiber sheet
    products [having the form of non-woven paper or woven or knitted fabric
    sheet products] having the preselected desired surface electrical
    [resistivities] resistances.
    2
    ‘162 Patent at 8:42-66.2
    By way of this process, a manufacturer can determine the level of surface resistivity
    necessary for a particular application, and then create carbon fibers with that preselected level of
    resistivity by partially carbonizing a fiber starting material for a certain period of time at a given
    temperature between 370 and 1300 degrees Centigrade. 48 Fed.Cl. at 293. The fibers are then
    incorporated into a sheet product which takes on the resistive properties of the constituent fibers.
    Id. at 296. As this Court noted in its claim construction decision, “[t]he essence of the invention
    is the relation between the partial carbonization of the single carbon fiber and the electrical
    resistivity of the sheet product which incorporates the partially carbonized single fibers.” Id.
    Zoltek alleges that the processes used by or for the Government to produce silicon carbide fiber
    mats and preimpregnated materials incorporated into the F-22 and B-2 infringes the ‘162 Patent.
    Specifically, Zoltek asserts claims 1-22 and 33-38 of the ‘162 Patent in this action. See
    Joint Stipulation of Fact, Witnesses and Exhibits (“Jt. Stip.”) at ¶ 2. Of these, claims 1, 11, 15
    and 33 are independent claims. See ‘162 Patent at 8:42, 9:65, 10:35, 11:47. The rest of the
    asserted claims depend upon these claims. See generally ‘162 Patent at 8:67-11:34.
    b. Procedural History
    As one might expect of a case approaching its third decade of proceedings, the procedural
    background of this matter is extensive. The Court will discuss only a few particularly relevant
    points in this background in order to explain the posture at trial.
    In 2006, the Federal Circuit heard this case on appeal. See Zoltek Corp. v. United States,
    
    442 F.3d 1345
     (Fed. Cir. 2006). The result of its decision was the dismissal of the F-22 portion
    of the case. The B-2 portion of the case proceeded uninterrupted. However, on March 14, 2012,
    the Federal Circuit published another opinion in this case. See Zoltek Corp. v. United States, 
    672 F.3d 1309
     (Fed. Cir. 2012). In that decision, the Federal Circuit, acting sua sponte and sitting en
    banc for this part of its decision only, vacated its 2006 decision in its entirety. 
    Id. at 1317
    . The
    result of this decision was that Zoltek’s F-22 case was resurrected almost six years to the day
    after it was left for dead in this Court. The Court ordered the parties to submit a Joint Status
    Report addressing the practical implications of the Federal Circuit’s 2012 decision.
    In their Joint Status Report, the parties disagreed over how to proceed. Zoltek wanted to
    complete discovery relating to the F-22 before trial, such that both the B-2 and the F-22 issues
    could be resolved simultaneously. See Joint Status Report, Docket No. 456, at 1-2. The
    Government believed that the Court should schedule trial on the B-2 immediately since there
    were no common issues between the two sets of claims. Id. at 2.
    2
    Note that the bracketed language is part of the original patent which was removed during
    reissue proceedings and the italicized language is language which was added during reissue
    proceedings. See ‘162 Patent at 1:5-8 (“Matter enclosed in heavy brackets [ ] appears in the
    original patent but forms no part of this reissue specification; matter printed in italics indicates
    the additions made by reissue.”).
    3
    On February 15, 2013, the parties submitted another status report. The parties still
    disagreed as to the time and form of trial, so the Court ordered the parties to submit briefs in
    support of their positions. The Court’s order required the parties to address specific questions,
    the answers to which it would consider in resolving the trial scheduling conflict. See generally
    Docket No. 472. After considering the parties’ positions, the Court determined that the most
    efficient process moving forward would be to hold trial to address the Government’s assertions
    of invalidity first, and to return to the remaining questions afterwards, if necessary. That order
    led to the trial which is the subject of the instant opinion.
    c. The Trial
    The Court presided over the trial in this matter beginning on November 4, 2013. During
    the trial, the Court heard testimony from the Government’s expert, Dr. Brian Sullivan, and from
    Zoltek’s CEO, Zsolt Rumy, who testified both as a fact and expert witness. The Court also
    received, by way of deposition testimony, evidence from a number of other witnesses who are
    either deceased, advanced in age, or who otherwise were unable to appear live at trial. Although
    this opinion takes all of the admitted evidence into account, the parties’ briefs make clear that Dr.
    Sullivan and Mr. Rumy are the key witnesses in this case.
    II.     The Government’s Invalidity Contentions
    As stated above, the Government has challenged the validity of the ‘162 Patent under
    three separate grounds. First, it argues that the ‘162 Patent claims subject matter which is
    ineligible for patent protection under 
    35 U.S.C. § 101
     and Supreme Court precedent. It also
    argues that the ‘162 Patent is invalid for obviousness under 
    35 U.S.C. § 103
    . Finally, it argues
    that the ‘162 Patent is invalid under 
    35 U.S.C. § 112
    , ¶ 1, for a lack of written description. The
    Court will address each of these arguments in turn.
    III.    The ‘162 Patent Is Not Invalid Under 
    35 U.S.C. § 101
    The Government has asked the Court to wade into the morass that is § 101 of the Patent
    Act. In doing so, the Government argues that Claims 1-4, 9, 10 and 33-38 of the ‘162 Patent, all
    of which are method claims, are invalid. Unfortunately for the Government and the Court, this
    expedition proves fruitless as the Government has not convinced the Court that Zoltek’s patent
    claims patent-ineligible subject matter.
    “Patent eligibility under § 101 presents an issue of law,” though the “legal conclusion
    may contain underlying factual issues.” Accenture Global Servs. V. Guidewire Software, Inc.,
    
    728 F.3d 1336
    , 1340-41 (Fed. Cir. 2013). Invalidity by way of a failure to claim patent-eligible
    subject matter must be proven by clear and convincing evidence. Ultramercial, Inc. v. Hulu,
    LLC, 
    722 F.3d 1335
    , 1338-39 (Fed. Cir. 2013).
    Section 101 of the Patent Act states that, “[w]hoever invents or discovers any new and
    useful process, machine, manufacture, or composition of matter, or any new and useful
    improvement thereof, may obtain a patent therefor, subject to the conditions and requirements of
    this title.” 
    35 U.S.C. § 101
    . The plain language of this statute belies the complexity of the
    4
    subject matter analysis which the Supreme Court has devised through a series of cases dating
    back to the 1970s. It is now well-established that, even if they fall squarely within the expressly-
    stated subjects of § 101, “laws of nature, physical phenomena, and abstract ideas” are not patent
    eligible. Diamond v. Chakrabarty, 
    447 U.S. 330
    , 309 (1980) (citing Parker v. Flook, 
    437 U.S. 584
     (1978); Gottschalk v. Benson, 
    409 U.S. 63
    , 67 (1972)). In order to be patent eligible, “a
    process that focuses upon the use of a natural law [must] also contain other elements or a
    combination of elements, sometimes referred to as an ‘inventive concept,’ sufficient to ensure
    that the patent in practice amounts to significantly more than a patent upon the natural law
    itself.” Mayo Collaborative Services v. Prometheus Laboratories, Inc., 
    132 S. Ct. 1289
    , 1294
    (2012).
    The Government argues that the claims are invalid because they embody nothing more
    than a law of nature. For example, the Government points to Figure 4 of the patent to support its
    contention. It argues that Figure 4, which charts a relationship between heat treatment
    temperature and surface resistance, see ‘162 Patent Fig. 4, demonstrates the ineligibility of the
    ‘162 Patent claims by showing that the claims embody nothing more than a natural law that links
    temperature to resistance. Relying upon the testimony of its expert, Dr. Brian Sullivan, the
    Government argues that the independent claims at issue (claims 1 and 33) consist of three parts:
    (1) the manufacture of carbon fibers using conventional carbonization equipment and techniques;
    (2) the manufacture of a sheet product using conventional techniques and processes; and (3) “the
    concept that if you control the fibers’ volume electrical resistivity it gives you the ability to
    control the sheet or surface resistivity of the final carbon mat product.” Gov’t Br. at 10 (quoting
    Tr. 163-64). The Government argues that these three parts render the ‘162 Patent’s claims
    similar to those found ineligible in Flook and Mayo.
    Zoltek counters by relying on Diamond v. Diehr, 
    450 U.S. 175
     (1981), a case in which
    the Supreme Court affirmed the validity of the claims before it. Zoltek argues that the ‘162
    Patent looks much more like Diehr than any other Supreme Court decision. As such, it claims
    that the ‘162 Patent is eligible for patent protection and therefore not invalid under § 101.
    The Court agrees with Zoltek. The Government’s comparisons to the ineligible claims in
    Flook and Mayo are much less apt than comparison to Diehr. The patent application in Flook
    described a method of updating alarm limits. As the Government observes, the method consisted
    of three steps: (1) measuring a process variable; (2) employing an algorithm to solve a
    mathematical formula for an alarm limit value; and (3) updating the alarm limit accordingly.
    Flook, 
    437 U.S. at 585
    . In essence, Flook amounted to a claim for a mathematical equation and
    some insignificant “‘post-solution’ activity”: updating an alarm limit. See 
    id. at 590
    .
    Likewise, in Mayo, the patent consisted of three steps: (1) an “administering” step; (2) a
    “determining” step; and (3) a “wherein” step. Mayo, 
    132 S. Ct. at 1297
    . Mayo actually looks a
    lot like Flook, in that two steps involved something of a calculation (the “administering” and
    “determining” steps) and the third step added nothing of substance. See 
    id.
     (“[T]he ‘wherein’
    clauses simply tell a doctor about the relevant natural laws, at most adding a suggestion that he
    should take those laws into account when treating his patient. That is to say, these clauses tell
    the relevant audience about the laws while trusting them to use those laws appropriately where
    they are relevant to their decisionmaking.”) (emphasis added). In essence, the “wherein” clause
    5
    in Mayo mirrors Flook’s third element embodying insignificant post-solution activity. Neither
    case addressed claims that actually resulted in a functional product.
    These cases lie in stark contrast to the claims of the patent application in Diehr. In that
    case, the claims covered a process for curing rubber by monitoring the internal temperature of
    the rubber mold. Diehr, 
    450 U.S. at 177
    . The applicants characterized their contribution as the
    ability to improve rubber cure quality by constantly monitoring the temperature of the mold and
    updating cure time via a well-known equation (the Arrhenius equation). 
    Id. at 178-79
    . Even
    though the claims revolved around the application of an equation, just as the claims in Flook, the
    Court found the claims eligible for patent protection because they “involve the transformation of
    an article … into a different state or thing.” 
    Id. at 184
    . In other words, the post-solution activity
    was not insignificant.
    So too here, the result of the claims is a not insignificant physical change. While the
    claims may be directed in part to what can be reasonably characterized as a mathematical
    relationship (as between heat treatment temperature and surface resistance), they do something
    significant beyond state a law of nature: they direct application of that law to produce controlled
    surface resistivity carbon fiber sheet products. As such, the Court finds that the challenged
    claims of the ‘162 Patent cover patent eligible subject matter.
    IV.     Claims 1-22 and 33-38 of the ‘162 Patent Are Invalid Under § 103
    The Court turns next to the Government’s argument that the ‘162 Patent is invalid as
    obvious under 
    35 U.S.C. § 103
    . The Court first reviews the claimed invention and prior art
    references relevant to the parties’ arguments.
    a. The Claimed Invention
    The ‘162 Patent discloses methods for manufacturing controlled surface resistance carbon
    fiber sheet products. As this Court has previously stated: “The essence of the invention is the
    relation between the partial carbonization of the single carbon fiber and the electrical resistivity
    of the sheet product which incorporates the partially carbonized single fibers.” Zoltek Corp. v.
    United States, 
    48 Fed.Cl. 290
    , 296 (2000). The Government argues that claims 1 through 22 and
    33 through 38, all of the claims still asserted by Zoltek in this case, are invalid as obvious.
    Two figures from the ‘162 Patent are particularly relevant to the Government’s theory.
    The first, Fig. 3 of the ‘162 Patent, is a plot of electrical resistivity of a single carbon fiber as a
    function of heat treatment temperature. The second, Fig. 4, plots both the resistivity of the
    carbon fiber and the surface resistance of a sheet product made in accord with the patented
    method as functions of heat treatment temperature. Both Figures demonstrate a decrease in
    resistivity/resistance as heat treatment temperature increases.
    b. Prior Art References
    To qualify as prior art for the obviousness analysis, “a reference must qualify as
    ‘analogous art,’ i.e., it must satisfy one of the following conditions: (1) the reference must be
    6
    from the same field of endeavor; or (2) the reference must be reasonably pertinent to the problem
    with which the inventor is involved.” K-TEC, Inc. v. Vita-Mix Corp., 
    696 F.3d 1364
    , 1375 (Fed.
    Cir. 2012). “A reference is reasonably pertinent if it, as a result of its subject matter, ‘logically
    would have commended itself to an inventor’s attention in considering his problem.” 
    Id.
    (quoting Innovention Toys, LLC v. MGA Entm’t Inc., 
    637 F.3d 1314
    , 1321 (Fed. Cir. 2011)).
    Whether a prior art reference is “analogous” is a question of fact. Wyers v. Master Lock Co., 
    616 F.3d 1231
    , 1237 (Fed. Cir. 2010).
    In arguing that the ‘162 Patent is obvious, the Government relies upon a series of prior art
    references. Zoltek challenges the Government’s reliance upon several of these references based
    on a few different theories. Before turning to Zoltek’s arguments, the Court briefly summarizes
    the references3 upon which the Government relies in its post-trial brief:
    (1) Shindo (J101): The Shindo Report (“Shindo”) comprises a research report published
    in December of 1961. It discusses the manufacture and use of carbon fibers using
    polyacrylonitrile as a starting material. Tr. at 75-76. Dr. Sullivan testified at trial that
    Shindo disclosed the same relationship that is shown in Fig. 3 of the ‘162 Patent, i.e.,
    that increasing heat treatment temperatures results in decreased volume resistivity (or
    increased conductivity) of the carbon fibers. See J101.40; Tr. 76-77. Shindo also
    discloses that other material properties, like Young’s Modulus, which likewise
    change based on a fiber’s heat treatment temperature. J101.28. Dr. Sullivan
    explained at trial that these changes in material properties—Young’s Modulus and
    volume resistivity—are the result of the predictable increase in crystallinity in the
    system. See Tr. at 78 (“This is, for my purposes, one of the most important graphs in
    this report, because it explains why all these other properties are changing with heat
    treatment temperature, simply because the graphite crystallites themselves are
    growing and becoming more well ordered.”) (discussing the graph on J101.33).
    (2) Kitago (J111): The Kitago reference is United States Patent No. 3,998,689, which
    issued on December 21, 1976. Kitago discloses a process for producing carbon fiber
    paper. The disclosed process uses short carbon fibers combined with other
    ingredients to form a slurry, which is then treated at a predetermined heat temperature
    to form a final conductive paper product. See J111.3-111.4; Jt. Stip. ¶¶ 56-58.
    According to Dr. Sullivan, “this patent is relative [sic] in that a very similar process
    was used here to create the carbon fiber sheet product, as [is used in the ‘162 Patent].
    Differences are that the Zoltek paper used chopped fiber filaments that had already
    been heat-treated and carbonized at high temperatures, whereas the Kitago and
    Yoshida patent performed the heat treatment on the carbon fiber paper subsequent to
    its formation.” Tr. at 80. Dr. Sullivan highlighted a table in Kitago which contains
    data for certain physical properties of the sheet product produced via the patented
    method at two different heat treatment temperatures: 1000°C and 2000°C. Tr. at 80-
    3
    For ease of reference, the Court refers to the prior art references by the author’s name or
    authors’ names. In effect, the Court adopts the nomenclature used by the parties throughout this
    litigation, rather than the exhibit numbers used for trial purposes.
    7
    81 (referencing J111.5). The table shows a significantly lower resistance for
    treatment at the higher temperature. See J111.5 Table 4.
    (3) Layden (J109): The Layden reference is United States Patent No. 4,080,413, which
    issued on March 21, 1978. Layden discloses a process for producing an electrically
    conductive carbon fiber sheet product that, according to Dr. Sullivan, is very similar
    to the process disclosed in the ‘162 Patent. Tr. 84 (“The patent is relative – is
    relevant in that a very similar process was used in the Layden patent as was used in
    the [‘162 Patent] to create the carbon sheet product.”). Dr. Sullivan also explained
    that Layden demonstrates that there was a desire to control the resistivity of the
    material by means of different heat treatment temperatures. Tr. 84-85; Jt. Stip. ¶¶ 59-
    64.
    (4) Topchjiev (J4): The Topchjiev reference is a United Kingdom patent published in
    1965. Dr. Sullivan testified that this patent discusses a method of producing carbon
    sheet products from oxidized and stabilized carbon fibers that are subsequently heat-
    treated. Tr. at 86; see also Jt. Stip. ¶¶ 73-75. According to Dr. Sullivan, Topchjiev
    demonstrates a desire to control electrical conductivity of the carbon sheet product.
    Tr. at 86-88. He also explained the simple mathematical relationship between
    conductivity and resistivity. Tr. at 88.
    (5) Fischbach and Komaki (J120): The Fischbach and Komaki reference is an article
    entitled “Electrical Resistance of Carbon Fibers,” which was published in 1979.
    J120.1. Fischbach and Komaki explains the change in resistivity of various precursor
    fibers as heat treatment temperature changes. Tr. 88-92; see also Jt. Stip. ¶¶ 65-66.
    Dr. Sullivan testified that this reference discloses the same trend as in Fig. 3 of the
    ‘162 Patent; specifically, that increasing heat treatment temperature results in a
    decreased volume electrical resistivity of the carbon fibers. Tr. 89. Dr. Sullivan also
    testified that, even though the chart in Fischbach and Komaki was only directed to the
    resistivity of individual carbon fibers, the same relationship would hold true for a
    sheet product made of the fibers and other constituent parts. Tr. 91.
    (6) The Rule of Mixtures: Dr. Sullivan described the “Rule of Mixtures” in his testimony:
    The rule of mixtures basically states that if you know the relative
    volume fractions of all the constituents that make up a composite and
    you know the property of the individual constituents, you’re able to
    predict what the property of the composite is on the basis of the
    constituents’ fiber volume fractions and individual properties.
    Tr. 113. He explained that a “volume fraction” is the percentage, by volume, of the
    specific material within the composite. Tr. 114-15. Dr. Sullivan referred to five
    different prior art references authored by Hashin4, Rosen and Christensen, each of
    4
    The Court notes that the table of joint exhibits provided by the parties misspells the name of the
    author, Hashin, as “Hashim.” In its brief, Zoltek likewise repeatedly misspells Hashin’s name.
    8
    which disclosed the use of the Rule of Mixtures to determine composite properties,
    including electrical conduction. See Tr. 115-26 (discussing D49, J8, J10, J9 and J5);
    see also Jt. Stip. ¶ 68; J8 (“Hashin Report”); Jt. Stip. ¶ 69; J10 (“Rosen Article”), Jt.
    Stip. ¶ 70; J9 (“Hashin Survey”), Jt. Stip. ¶ 71; J5 (college textbook by Christensen,
    entitled “Mechanics of Composite Materials” (“Christensen”)); Jt. Stip. ¶ 67.
    (7) Admissions of the patentee, inventor or applicant: The Government also notes that
    “[a]dmissions in the specification regarding the prior art are binding on the patentee
    for purposes of a later inquiry into obviousness.” PharmaStem Therapeutics, Inc. v.
    Viacell, Inc., 
    491 F.3d 1342
    , 1362 (Fed. Cir. 2007); see also Smith & Nephew, Inc. v.
    Rea, 
    721 F.3d 1371
    , 1380 n.5 (Fed. Cir. 2013) (“Expert opinions that are contrary to
    admissions in the specification do not create a factual issue.”) (citing PharmaStem,
    
    491 F.3d at 1361-62
    ). Admissions and statements made during prosecution of a
    patent also constitute binding admissions as to the scope of prior art. See Springs
    Window Fashions LP v. Novo Indus., L.P., 
    323 F.3d 989
    , 995 (Fed. Cir. 2003) (“The
    public notice function of a patent and its prosecution history requires that a patentee
    be held to what he declares during the prosecution of his patent.”).
    Dr. Sullivan explained that the ‘162 Patent states that conventional paper-making
    equipment could be used to perform the paper making steps as claimed in the ‘162
    Patent. See Tr. 69-70; see also Jt. Stip. ¶ 55. The ‘162 Patent also admits that it was
    known prior to the filing date that volume resistivity of the final fiber decreases as a
    heat treatment temperature increases. See Tr. 72 (referring to ‘162 Patent 5:38-49).
    During prosecution, the applicant stated that the patentably distinguishing feature of
    the disclosed invention was the ability to control the sheet resistivity by carbonizing
    at a selected temperature within the range of 370 degrees to 1250 degrees Centigrade.
    See J3.164; see also J3.142. These admissions were mirrored at trial by Zoltek’s
    CEO, Zsolt Rumy. See Tr. 342 (admitting that methods of making carbon fibers and
    carbon fiber paper products were known in 1984); see also Tr. 343 (admitting that the
    “uniqueness” of the processes sought to be patented rested in the “coordination of the
    heat treatment temperature of a fiber in order to get the … surface resistance … in the
    product.”).
    The Court finds, in light of Dr. Sullivan’s testimony, that all of these references constitute
    analogous prior art. To the extent that the references discuss controlling resistivity of carbon
    fibers, they are plainly analogous to part of the method described in the ‘162 Patent. The same
    can be said for the references discussing the change in resistivity based on heat treatment
    temperature. Even the references discussing conductivity, like Shindo and Topchjiev, would be
    relevant because, as explained by Dr. Sullivan, a person of ordinary skill in the art would
    understand the mathematical relationship between conductivity and resistivity. See Tr. 88.
    Zoltek argues that Topchjiev, Layden and Fischbach and Komaki are not directed to
    surface resistivity, and the Court presumes that the unwritten point is that they instead refer to
    volume resistivity of the precursor fiber or of the final sheet product. However, as Dr. Sullivan
    testified at trial, a person of ordinary skill in the art would understand how to calculate surface
    9
    resistivity from sheet volume resistivity: surface resistivity is simply the volume resistivity of the
    sheet divided by the sheet thickness. Tr. 107-08. Zoltek offered no evidence to contradict Dr.
    Sullivan’s proposed relationship between volume and surface resistivities; as such, the Court
    accepts Dr. Sullivan’s testimony as true and accurate. Dr. Sullivan’s testimony convinced the
    Court that a person of ordinary skill would understand the relationship between these two values
    and, therefore, would not limit his research only to surface resistivity but would also consider
    sources that discuss volume resistivity.
    Zoltek’s challenge to Dr. Sullivan’s use of the Rule of Mixtures is a better argument, but
    again, Zoltek’s arguments do not give the Court reason to doubt Dr. Sullivan’s application of the
    Rule of Mixtures. First, Zoltek argues that the Hashin Report does not discuss carbon fiber
    composites or their electrical characteristics. Next, it argues that the Rosen Article is directed to
    fully carbonized carbon fibers, not partially carbonized fibers. Finally, Zoltek argues that the
    Hashin Survey and Christensen does not mention surface resistivities, partially carbonized fibers,
    or controlling surface resistivity of carbon fiber sheet products by way of volume resistivity of
    individual carbon fibers.
    Zoltek completely misses the point of Dr. Sullivan’s reliance on these references. They
    are not directed to the specifics of carbon fibers or controlling resistivity. Dr. Sullivan applied
    these references to explain how, in the field of composite materials, if one knows the relevant
    characteristic (i.e., resistivity) of the components and their volume fractions, one can calculate
    with reasonable certainty the relevant characteristic of the composite material comprised of those
    components. To this end, the Court finds the Rule of Mixtures relevant because, by Zoltek’s
    own characterization at trial, the sheet products produced in accord with the ‘162 Patent are
    composite materials. See Tr. 21 (Zoltek, in its opening statement, explained that, “[i]n contrast
    to Dr. Sullivan, Zsolt Rumy and Lee McKague have a combined more than 80 years of
    experience in the actual manufacture of carbon fiber composite products.”) (emphasis added).
    In sum, the Court concludes that all of the references cited by the Government are, at the
    very least, analogous art. If a person skilled in the art sought to produce a carbon fiber
    composite material with controlled surface resistivity, that person would almost certainly look at
    how to control the resistivity of the carbon fiber starting material, how to manufacture a
    composite sheet product from the carbon fiber starting material, and how to determine a
    composite material’s overall characteristics based on the characteristics of its components.
    c. Obviousness Standards
    A patent is invalid if it is obvious. 
    35 U.S.C. § 103
    . Section 103 provides that a patent
    may not be obtained “if the differences between the claimed invention and the prior art are such
    that the claimed invention as a whole would have been obvious before the effective filing date of
    the claimed invention to a person having ordinary skill in the art to which the claimed invention
    pertains.” Id.; see KSR Int’l Co. v. Teleflex, Inc., 
    550 U.S. 398
    , 406 (2007). In reaching its
    determination, a court must avoid the use of hindsight or “ex post reasoning.” KSR, 
    550 U.S. at 421
    ; see also Graham v. John Deere Co. of Kan. City, 
    383 U.S. 1
    , 36 (1966).
    10
    Obviousness can be demonstrated where modifications to a single prior art reference
    would have been obvious, see, e.g., Takeda Chem. Indus., Ltd. V. Alphapharm Pty., Ltd., 
    492 F.3d 1350
    , 1357 (Fed. Cir. 2007), or where it would have been obvious to combine multiple
    elements of various pieces of prior art. See KSR, 
    550 U.S. at 417
    . The mere fact, however, that
    prior art could have been modified to achieve the patent-in-suit at the time of the invention does
    not render the invention invalid on the grounds of obviousness, “unless the prior art suggests the
    desirability of the modification.” Cordis Corp. v. Medtronic Ave, Inc., 
    511 F.3d 1157
    , 1172
    (Fed. Cir. 2008). “Obviousness is a question of law based on underlying findings of fact.” In re
    Kubin, 
    561 F.3d 1351
    , 1355 (Fed. Cir. 2009); see also Rolls-Royce, PLC v. United Techs. Corp.,
    
    603 F.3d 1325
    , 1338 (Fed. Cir. 2010) (“obviousness is a question of law based on underlying
    factual inquiries”).
    i. The Graham Factual Inquiries
    In Graham, the Supreme Court set out the factual inquiries for the determination of
    patent invalidity based on obviousness. These inquiries, known as the Graham factors, govern
    whether the claimed invention is obvious and, therefore, the patent invalid under § 103. These
    factors include (1) the level of ordinary skill in the art; (2) the scope and content of the prior art;
    and (3) the differences between the prior art and the claimed invention. KSR, 
    550 U.S. at 406
    (quoting Graham, 
    383 U.S. at 17-18
    ). Under this framework, “the obviousness or non-
    obviousness of the subject matter is determined.” Graham, 
    383 U.S. at 17
    .
    Graham also requires consideration of secondary indicia (frequently called
    considerations) of non-obviousness, such as “commercial success, long felt but unsolved needs,
    [or the] failure or others” to achieve comparable results. 
    Id. at 17-18
    . Since Graham, courts
    have also considered skepticism or disbelief, copying or praise of the claimed invention, and
    unexpected results as secondary considerations of non-obviousness. Brown & Williamson
    Tobacco Corp. v. Philip Morris, Inc., 
    229 F.3d 1120
    , 1129 (Fed. Cir. 2000).
    ii. Reason to Combine Prior Art References
    When an innovation is alleged to be obvious in light of the combination of two or more
    prior art references, “it can be important to identify a reason that would have prompted a person
    of ordinary skill in the relevant field to combine the elements in the way the claimed new
    invention does.” KSR, 
    550 U.S. at 418
    . In KSR, the Court held that a patent is invalid if “[t]he
    combination of familiar elements according to known methods is likely to be obvious when it
    does not more than yield predictable results.” 
    Id. at 416
    . As the Court noted,
    Often, it will be necessary for a court to look to interrelated teachings
    of multiple patents; the effects of demands known to the design
    community or present in the marketplace; and the background knowledge
    possessed by a person having ordinary skill in the art, all in order to
    determine whether there was an apparent reason to combine the known
    elements in the fashion claimed by the patent.
    
    Id. at 418
    .
    11
    The KSR Court also held that a patent may be obvious in light of a combination of prior
    art references if the combination was “obvious to try.” 
    Id. at 421
    . “When there is a design need
    or market pressure to solve a problem and there are a finite number of identified, predictable
    solutions, a person of ordinary skill has good reason to pursue the known options within his or
    her technical grasp.” 
    Id.
     Whether a solution is predictable is determined in part by whether a
    person of ordinary skill in the art would have had a reasonable expectation of success. Life
    Techs., Inc. v. Clontech Labs., Inc., 
    224 F.3d 1320
    , 1326 (Fed. Cir. 2000) (“Reasonable
    expectation of success is assessed from the perspective of the person of ordinary skill in the
    art.”).
    Naturally, some fields of technological art are less predictable than others. “[T]o the
    extent an art is unpredictable, as the chemical arts often are, KSR’s focus on … ‘identified,
    predictable solutions’ may present a difficult hurdle because potential solutions are less likely to
    be genuinely predictable.” Procter & Gamble Co. v. Teva Pharmaceuticals USA, Inc., 
    566 F.3d 989
    , 996 (Fed. Cir. 2009).
    d. Discussion
    Before turning to the issues disputed by the parties, the Court first discusses the level of
    ordinary skill in the art, which is not in dispute. The Court will then discuss the remaining
    Graham factors.
    i. The Level of Ordinary Skill in the Art
    It has been settled since 2000 that the parties agree on the level of ordinary skill in the art.
    The parties agree that one skilled in the art would have at least a
    bachelor’s degree in chemical engineering or chemistry. One skilled in
    the art would also have a working knowledge of the characteristics and
    uses of cellulosic, pitch and acrylic carbon fiber precursors, the
    characteristics of carbon fiber, the pyrolization processes used in making
    carbon fiber and processes for making carbon fiber sheet products.
    Zoltek Corp. v. United States, 
    48 Fed.Cl. 290
    , 293 n.1 (2000); Jt. Stip. ¶ 135.
    ii. The Government Has Made Out a Prima Facie Case of
    Obviousness
    The parties have presented numerous arguments with respect to obviousness. Because
    the Government’s theory rests heavily on Dr. Sullivan’s testimony and Zoltek directly challenges
    much of Dr. Sullivan’s testimony, the Court first addresses those challenges which cannot
    readily be linked to a specific substantive question. It then turns to the parties’ substantive
    dispute.
    12
    1. Zoltek’s Challenges to Dr. Sullivan’s Testimony are
    Unpersuasive
    Zoltek first argues that Dr. Sullivan’s educational and work experience did not involve
    the production of carbon fibers or carbon fiber sheet products having specified electrical
    characteristics. This is essentially a retread of the very same argument the Court rejected in its
    summary judgment opinion, which also addressed the parties’ motions to strike the other party’s
    expert. Specifically, the Court noted in that opinion that Zoltek argued that Dr. Sullivan was
    unqualified to testify in this case “given the absence of any work involving electrical properties
    of carbon fibers.” See Zoltek, 95. Fed.Cl. at 685. The Court rejected this theory because, in its
    view, it mirrored an argument rejected in Raytheon Co. v. United States, Civ. No. 05-448, 
    2009 WL 1373959
    , at * 1 (Fed.Cl. May 13, 2009). The Court sees nothing in Zoltek’s renewed
    argument that would cause it to reconsider its previous ruling.
    Zoltek’s argument could perhaps be characterized as an attempt to cast doubt upon Dr.
    Sullivan’s testimony. To this end, the Court notes that it found Dr. Sullivan’s testimony
    credible. To the extent that this is Zoltek’s intended purpose with its argument, it is rejected.
    Zoltek next challenges Dr. Sullivan’s testimony because his mathematical model,
    whereby he demonstrated that the ‘162 Patent could be reproduced by a combination of well-
    known mathematical equations and the prior art, has never been used by any manufacturer. It is
    unclear for precisely what purpose Zoltek raises this issue, but to the extent that Zoltek raises it
    to counter the Government’s prima facie case of obviousness, Zoltek has cited no cases to
    explain the relevance. To the extent that Zoltek intends this argument to apply to its secondary
    considerations position, the Court addresses those considerations below.
    The remainder of Zoltek’s challenges to Dr. Sullivan’s can be logically linked to the
    substantive arguments before the Court, so they will be addressed where most appropriate.
    2. The Graham Factors
    The Government’s argument for obviousness is clear and concise. Zoltek’s opposing
    argument, on the other hand, can best be characterized as scattershot. Rather than chasing each
    rabbit down its hole, the Court organizes its discussion in as direct a manner as possible.
    The Government argues that Dr. Sullivan’s testimony establishes the obviousness of the
    ‘162 Patent. At trial, Dr. Sullivan testified that the steps embodied in claims 1-22 and 33-38 can
    be divided into three categories: (1) steps for processing the carbon fibers themselves by
    oxidizing and stabilizing them then performing carbonization and heat treatment; (2) steps for
    producing carbon fiber paper or carbon sheet products; and (3) controlling surface resistivity of
    the sheet product by means of controlling the heat treatment temperature. Tr. 163-64. Dr.
    Sullivan then testified as to how the various prior art references map onto these categories.
    Dr. Sullivan testified that both Shindo and Fischbach and Komaki were relevant to
    Category 1. Tr. 101-02. He testified that these references demonstrate the relationship between
    the “starting material and heat treatment temperature and the resulting carbon fiber properties.”
    13
    Tr. 102. The Government also observes that the ‘162 Patent itself acknowledges that the change
    in resistivity of single fibers based upon heat treatment was known at the time of filing. See ‘162
    Patent at 5:38-49; Jt. Stip. ¶ 6. On the basis of these facts, Dr. Sullivan opined that Category 1
    was “clearly within the state of the art.” Tr. 166. Because all of the sources relied upon by Dr.
    Sullivan predate 1983, they qualify as prior art for purposes of obviousness. This conclusion is
    bolstered by Mr. Rumy’s testimony at trial, wherein he admitted that he believed similar methods
    of making carbon fibers were well known prior to the filing date of the patent. Tr. 342.
    Category 2, the processes for making sheet products such as paper, was also known in the
    art. Not only does the ‘162 Patent itself cite a textbook on making paper, see ‘162 Patent 6:28-
    35, but Dr. Sullivan testified that Topchjiev, Kitago and Layden all describe production of
    carbon paper sheet products. Tr. 167. Based on these references, Dr. Sullivan opined that
    Category 2 was the state of the art prior to 1984. Tr. 166-67. Once again, Mr. Rumy also
    testified that processes for making carbon fiber paper products were known prior to the filing of
    the patent application. Tr. 342-43.
    Category 3, the correlation between carbonization temperature and surface resistivity of
    the final sheet product, is really the meat of the ‘162 Patent’s claim of novelty. Dr. Sullivan
    explained that the prior art references relevant to this category are Layden, Topchjiev and the
    Rule of Mixtures references. At trial, he explained that, prior to 1984:
    There was a desire to control electrical conductivity, to control volume
    resistivity, and to control surface resistivity. They’re all related quantities.
    Simple expressions allow you to know how the conductivity is related to
    the volume resistivity and how the volume resistivity is related to the
    surface resistivity. Very simple algebraic equations.
    Tr. 105-06. He then demonstrated the application of these equations. See D85. He also
    demonstrated the application of the Rule of Mixtures. Tr. 114-15 (producing D86).
    Combining the calculations for resistivity/conductivity and the Rules of Mixtures, Dr.
    Sullivan explained that, in order to calculate surface resistivity for a sheet product, in light of the
    prior art, a person of ordinary skill in the art would need only to know the fiber’s volume
    resistivity, the fiber’s volume fraction within the composite, the fiber orientations, and the final
    thickness of the product. Tr. 145-46. He applied this calculation in a spreadsheet, see D80, and
    plotted the results. The degree of similarity between his calculated values and the data reflected
    in Fig. 4 of the ‘162 Patent is striking. Compare D80.1 with ‘162 Patent Fig. 4.
    Zoltek argues that Dr. Sullivan’s calculations are materially deficient because he used
    incorrect values for various parts of his calculations. First, Zoltek notes that the ‘162 Patent
    states that the density of the carbonized and stabilized fibers (i.e., the density after stabilization
    and oxidation but prior to heat treatment) is about 1.36 g/cm3, while Dr. Sullivan’s calculations
    used a density of 1.81 g/cm3. Compare ‘162 Patent 4:51-52 (stating that the starting material has
    “a density of about 1.36 grams per cubic centimeter.”), with D80.2 (using 1.81 g/cm3 as the
    density). However, Dr. Sullivan explained that the density of the fiber would increase with heat
    treatment temperature, and the Court notes that the graph produced by Dr. Sullivan is actually
    14
    more accurate at higher temperatures, which supports his thesis that density increases with heat
    treatment temperature. Because Dr. Sullivan’s calculation method is a fact for purposes of this
    litigation, the Court recalculated the surface resistivity using the 1.36 g/cm3 value at 775 degrees
    Centigrade, which is the lowest temperature in Dr. Sullivan’s chart, and it actually results in a
    closer approximation to the measured sheet resistivity than the 1.81 g/cm3 value.5 Thus, it seems
    to the Court that the correct density value, which changes at different temperatures, did not
    substantially alter Dr. Sullivan’s calculations.
    The other value Zoltek challenges is Dr. Sullivan’s use of .3 as the fiber volume fraction
    in his calculations. This challenge made for an interesting series of events at trial. It was first
    raised on Zoltek’s cross-examination of Dr. Sullivan, during which Dr. Sullivan testified that he
    selected the .3 (30%) value based on his experience that fiber volume fractions typically range
    from 20% to 35%. Tr. 260-61. Zoltek’s counsel then asked Dr. Sullivan if he would be
    surprised to learn that the volume fraction is actually closer to .03 (3%). Tr. at 263 (“Would you
    be surprised to learn that the estimated fiber volume fraction in the Zoltek sheet product
    described in the Zoltek patent is 0.03?”). On direct examination, Mr. Rumy then testified that
    Zoltek used a fiber volume fraction of 2.5-3%. The Government, on cross, then asked Mr. Rumy
    about Joint Exhibit 37, a Stackpole document from 1984. The document showed fiber volume
    fractions on the order of 15-30%. See J37.9. Mr. Rumy testified that the document did not refer
    to the process described in the ‘162 Patent. Tr. 366-67. The Court finds this testimony not
    credible because the document contains a flowchart that is virtually identical to Figure 1 of the
    ‘162 Patent. Compare J37.3, with ‘162 Patent at Fig. 1. In light of J37 and Zoltek’s failure to
    offer any credible evidence to the contrary, the Court finds that Dr. Sullivan’s .3 value was
    reasonable in light of his experience and the Stackpole document. Even though Dr. Sullivan did
    not testify that he relied upon J37 in using the .3 value, the document corroborates his selection
    of .3 based on his experience and lends further credence to his testimony.
    In sum, the Government, by way of Dr. Sullivan’s testimony and the trial record, has
    established that all the elements of claims 1-22 and 33-38 were present in the prior art. With this
    point established, the Court turns to the question of whether the Government has established that
    there was a reason to combine the references.
    3. The Government Has Established a Motivation to Combine
    the Prior Art References
    In looking to the reason to combine, KSR rejected a rigid approach to the obviousness
    inquiry. See KSR, 
    550 U.S. 415
    -22. Instead, the Supreme Court “required an analysis that reads
    the prior art in context, taking account of ‘demands known to the design community,’ ‘the
    5
    According to D80.2, Dr. Sullivan calculated a surface resistivity of 3390 ohm/sq and the
    measured resistivity was 2290 ohm/sq. Applying the 1.36 g/cm3 value, the Court obtained a
    calculated surface resistivity of 3087.85 ohm/sq. It should be noted that the calculation at 775
    degrees Centigrade is the least accurate calculation on Dr. Sullivan’s chart. Thus, it would seem
    that if Dr. Sullivan was provided with the actual fiber densities—which values Zoltek did not
    provide him throughout the extensive history of this litigation—his calculations would likely
    prove even more accurate than they already are.
    15
    background knowledge possessed by a person having ordinary skill in the art,’ and ‘the
    inferences and creative steps that a person of ordinary skill in the art would employ.” Randall
    Mfg. v. Rea, 
    733 F.3d 1355
    , 1362 (Fed. Cir. 2013) (quoting KSR, 
    550 U.S. at 418
    ). Such an
    inquiry “not only permits, but requires, consideration of common knowledge and common
    sense.” DyStar Textilfarben GmbH & Co. Deutschland KG v. C.H. Patrick Co., 
    464 F.3d 1356
    ,
    1367 (Fed. Cir. 2006) (emphasis in original).
    There are really two issues raised in Zoltek’s brief with respect to the motivation element.
    First, Zoltek argues that Dr. Sullivan has simply not explained why someone would combine the
    prior art references in the manner he explained. Second, Zoltek highlights Dr. Sullivan’s
    inability to point to a single entity which applied his mathematic calculations in commercial
    practice. The Government argues that Dr. Sullivan’s testimony speaks for itself; he clearly
    explained why he thought a person of ordinary skill would seek to combine the references.
    The first argument simply ignores Dr. Sullivan’s clear testimony at trial. Contrary to
    Zoltek’s assertion, Dr. Sullivan stated his opinion that, based on the teachings of Layden and
    Topchjiev, there was a desire to control electrical conductivity, volume resistivity, and surface
    resistivity in carbon fiber sheet products. See Tr. 105-06. This reliance upon the prior art itself
    is in accord with the Federal Circuit’s flexible post-KSR approach to obviousness: “One form of
    evidence to provide such a foundation [to support a party’s claim of obviousness], perhaps the
    most reliable because not litigation-generated, is documentary evidence consisting of prior art in
    the area.” Randall, 733 F.3d at 1362-63. Similar to the common-sense approach applied in
    Randall, Dr. Sullivan explained that the prior art demonstrated that heat treatment temperature
    had an effect on both volume resistivity of carbon fibers and on carbon sheet resistivity.
    Recalling Dr. Sullivan’s explanation of the prior art,6 the evidence strongly supports the
    notion that the method claimed in the ‘162 Patent is nothing more than an extension of the
    phenomenon observed in the prior art. Whereas the prior art recognized that there was a
    relationship between heat treatment temperature and resistivity, each reference only presented a
    couple of data points. After seeing this relationship in several references, a person of ordinary
    skill and with a modicum of common sense and creativity would certainly have seen reason to
    test the relationship across a broader range of temperatures. See Perfect Web Techs., Inc. v.
    InfoUSA, Inc., 
    587 F.3d 1324
    , 1329 (Fed. Cir. 2009) (explaining that “the sources of information
    for a properly flexible obviousness inquiry include… ‘any need or problem known in the field of
    endeavor at the time of invention and addressed by the patent’”) (citing KSR, 
    550 U.S. at
    418-
    21).
    Dr. Sullivan also explained the motivation behind the application of the Rule of Mixtures
    in this case. He explained that his mathematical model would have been desirable to anyone
    producing sheet products to minimize the costs of expensive trial and error. Tr. 157-61. This
    cost-saving benefit is exactly the type of design incentive or market force the Supreme Court
    highlighted in KSR. See KSR, 
    550 U.S. at 401
     (“When a work is available in one field, design
    6
    Dr. Sullivan explained that Shindo and Fischbach and Komaki demonstrated the temperature-
    resistivity relationship of carbon fibers, while Kitago, Layden and Topchjiev demonstrated the
    same relationship in carbon fiber sheet products. See supra.
    16
    incentives and other market forces can prompt variations of it, either in the same field or
    another.”).
    The only question remaining is whether the ‘162 Patent comprises predictable art. See
    KSR, 
    550 U.S. at 421
     (emphasizing predictability as a concern in the obviousness inquiry).
    “[T]o the extent an art is unpredictable, as the chemical arts often are, KSR’s focus on …
    identified, predictable solutions may present a difficult hurdle because potential solutions are less
    likely to be genuinely predictable.”). Procter & Gamble Co. v. Teva Pharmaceuticals USA, Inc.,
    
    566 F.3d 989
    , 996 (Fed. Cir. 2009) (internal quotations and citations omitted). Zoltek argues that
    the ‘162 Patent is not predictable because it is in the field of organic chemistry, but it offers no
    other explanation or evidence of unpredictability. Meanwhile, Dr. Sullivan’s calculations
    produced such an accurate representation of Zoltek’s experimental data that the Court can only
    conclude that, at least with respect to the technology described in the ‘162 Patent, the art was
    plainly predictable.
    Zoltek also attempts to argue against the reasons for combining by noting that Dr.
    Sullivan was unable to cite any company that applied his mathematical method. This argument
    is unpersuasive for two reasons. First, Zoltek has not cited any case that necessitates commercial
    application for obviousness-type invalidity. Second, a reason for the lack of commercial
    application may be derived from Mr. Rumy’s own testimony: Zoltek never made any large-scale
    sales of the products made by way of the ‘162 Patent and Zoltek stopped marketing its partially-
    carbonized fibers shortly after the company acquired Stackpole. Tr. at 376-77 (Mr. Rumy
    testifying that, “right around the time I acquired the company, we were still interested in that
    business [producing controlled resistivity carbon fiber products], and we did some [marketing]
    until we realized we were not going to get any of it.”). Simply put, it appears likely that nobody
    performed the kind of mathematical calculations described by Dr. Sullivan because the product
    was not particularly effective or desirable.
    iii. Secondary Considerations
    Any assessment of obviousness also requires review of existing secondary considerations
    of non-obviousness. See Zoltek Corp. v. United States, 
    86 Fed.Cl. 738
    , 746 (2009) (“It is well-
    settled that, if present, a Court must consider evidence of secondary indicia of non-
    obviousness.”). The question is generally whether the evidence of the secondary considerations
    is strong enough to overcome a showing of obviousness. See, e.g., Asyst Techs., Inc. v. Emtrak,
    Inc., 
    544 F.3d 1310
    , 1316 (Fed. Cir. 2008) (“evidence of secondary considerations does not
    always overcome a strong prima facie showing of obviousness”).
    Evidence of secondary considerations may support a finding of non-obviousness or raise
    doubt as to the obviousness of the patented claims. The strength of the evidence depends upon
    the nexus between the claimed invention and the secondary consideration. Ormco Corp. v. Align
    Tech., Inc., 
    463 F.3d 1343
    , 1352 (Fed. Cir. 2010). The patentee must provide, for example,
    “probative evidence that the claimed and novel features met a long-felt but unresolved need” or
    evidence that shows that the praise of the patented invention or failure of others is a result of the
    claimed invention. 
    Id. at 1313
    . Because this evidence of secondary considerations is intended to
    17
    rebut the Government’s prima facie showing of obviousness, Zoltek bears the burden of
    producing this evidence.
    In Zoltek’s pre-trial brief, it raised two sources of evidence for the Court’s secondary
    considerations analysis: a letter written by George Rodgers, a materials engineer at Northrop
    Grumman Corporation (“Northrop”) (J3.191) (hereinafter, “Rodgers Letter”), and a 1982 article
    by Quick and Mate. The trial record includes two articles by Quick and Mate (J40 and J118),
    both published in 1982, so it is unclear to which publication Zoltek is referring in its pre-trial
    brief. The point is irrelevant, however, because Zoltek did not mention either article in its post-
    trial brief. Accordingly, the Court assumes Zoltek has abandoned this argument. This leaves the
    Rodgers Letter as Zoltek’s only evidence of secondary considerations.
    The Rodgers Letter is part of the prosecution history of the original ‘395 Patent. It is
    dated August 6, 1987, and addressed from Mr. Rodgers to Jerry Fleming, then a Stackpole
    employee. J3.191. The letter, in its entirety, reads:
    In December 1983, the Materials & Processes Department of Northrop
    Advanced Systems Division ordered four rolls of carbon fiber paper from
    Stackpole Fibers Co. The product was unique in that the carbon fibers
    were not fully carbonized, increasing the volume resistivity of the fiber
    which in turn increases the surface resistivity of the paper. Northrop
    purchased four different levels of resistivity ranging from 24 to 3000
    ohms/square. At the time the order was placed, Northrop Materials &
    Processes had never seen a material of this type before and was not aware
    of any other company that could supply material in this form with varying
    electrical properties.
    J3.191. Zoltek argues that this letter and Mr. Rodgers’ deposition testimony support the validity
    of the ‘162 Patent, while the Government argues, in short, that the letter is irrelevant.
    Zoltek does not clearly state what secondary consideration the Rodgers Letter is intended
    to address, but the Court divines that it is intended to represent industry praise. In its pre-trial
    brief, for example, Zoltek asserts that the Rodgers Letter “corroborat[es] the unexpected and
    extraordinary properties of the product produced by the Zoltek patent.” Zoltek Pre-trial Br. at 7.
    Zoltek also attempts to characterize the letter as an admission by the Government because
    Northrop was a Government contractor. 
    Id.
    Neither of these arguments holds water. First, although this Court recognized at
    summary judgment that the Rodgers Letter is “reasonably attributable to the ability to vary the
    electrical surface resistivity of the products [Northrop] purchase[d],” it left the ultimate
    resolution of the issue to trial. Zoltek Corp. v. United States, 95 Fed.Cl. at 705. The only
    additional evidence before the Court in addition to this letter is Mr. Rodgers’ testimony and the
    stipulations of the parties. While the Rodgers Letter can be said to “praise” the products
    produced by way of the ‘162 Patent, nothing in the evidence suggests that this was a particularly
    groundbreaking innovation. Indeed, after the first order used for testing the carbon fiber paper,
    Northrop never made any additional purchases. See J64.30-35. This testimony was supported
    18
    by Mr. Rumy himself, who testified that Zoltek exited the business shortly after acquiring
    Stackpole. Tr. 376.
    Zoltek’s assertion that the Rodgers Letter is an admission by the Government borders on
    ludicrous. In its pre-trial brief, Zoltek argued that, as an employee of a Government contractor,
    Mr. Rodgers’ statements constitute binding admissions by the Government. Zoltek Pre-trial Br.
    at 7-8. Zoltek relies primarily on Federal Rule of Evidence (“FRE”) 801(d)(2)(C), arguing
    essentially that this is a statement against interest, and on Pacific Gas & Elec. Co. v. United
    States, 
    73 Fed.Cl. 333
    , 440 (2006), rev’d in part on other grounds, 
    536 F.3d 1282
     (Fed. Cir.
    2008).
    FRE 801(d)(2) provides that a statement is not hearsay if it is offered against the
    opposing party and “was made by a person whom the party [here, the Government] authorized to
    make a statement on the subject.” FRE 801(d)(2)(C). Applying the rule derived in Pacific Gas,
    such a statement would be admissible here under FRE 801(d)(2)(C) if the statements are (1)
    beneficial to, and offered at trial by, Zoltek, and (2) such statements were “authorized” by the
    Government. See Pacific Gas, 73 Fed.Cl. at 440. Unfortunately, while Mr. Rodgers’ statement
    may be beneficial to Zoltek, Zoltek has failed to establish that the statements were “authorized”
    by the Government. At best, it appears that Mr. Rodgers worked for Northrop’s Advanced
    Systems Division, whose “flagship was the design and validation and production of the B-2,”
    J66.34, one of the aircraft at issue in this litigation. However, Zoltek has not pointed the Court to
    any evidence in the voluminous record before it that explicitly shows that the four rolls of paper
    ordered in December 1983 were used for the B-2, or any other Government project.7
    iv. The ‘162 Patent is Invalid Under 
    35 U.S.C. § 103
    In sum, Zoltek has failed to establish any serious evidence of secondary considerations
    under the Graham framework. The meager evidence presented, when weighed against the
    Government’s strong prima facie showing of obviousness, does not render the ‘162 Patent non-
    obvious. For the reasons explained above, the Court concludes that, based on the evidence
    presented at trial, claims 1-22 and 33-38 of the ‘162 Patent are invalid as obvious under 
    35 U.S.C. § 103
    .
    7
    The Court recognizes that this deficiency may be due to Zoltek’s inability to obtain the
    evidence after the Government invoked the state secrets privilege. Unfortunately, the relevant
    law requires the Court to proceed as if this evidence did not exist. See Zoltek Corp. v. United
    States, 
    86 Fed.Cl. 738
    , 747 (2009) (observing that “the effect of a successful invocation of the
    state secrets privilege ‘is simply that the evidence is unavailable, as though a witness had died,’
    and that, with this in mind, ‘the case will proceed accordingly.’”) (quoting Ellsberg v. Mitchell,
    
    709 F.2d 51
    , 64 (D.C. Cir. 1983)). That fact does not excuse Zoltek from the burden of
    producing actual evidence of secondary considerations.
    19
    V.      Claims 1-22 and 33-38 of the ‘162 Patent Are Invalid Under 
    35 U.S.C. § 112
    The Government argues that all of the independent claims-at-issue (claims 1, 11, 15 and
    33) are invalid under 
    35 U.S.C. § 112
    , ¶ 1 .8 Before turning to the merits, however, the Court
    will address a procedural issue raised by Zoltek prior to trial.
    a. Zoltek’s Motion in Limine to Exclude the Government’s § 112, ¶ 1
    Defense
    Prior to trial, by way of a motion in limine, Zoltek moved this Court to exclude the
    Government’s §112, ¶ 1 affirmative defense. Generally put, Zoltek’s justification was that the
    Government failed to update its responses to Zoltek’s interrogatories regarding the legal and
    factual basis for its §112 defense “as required by Rules 26(b) and (e) and Rule 33” of the RCFC.
    See Docket No. 497 at 1. After reviewing the authority cited by Zoltek, the Court denied
    Zoltek’s motion “without prejudice to Zoltek raising the issue again after trial.” Docket No. 511
    at 1.
    Rather than raising the issue anew post-trial, Zoltek opted to substantively join the
    Government’s § 112 theory. See Zoltek Post-Trial Brief at 34-38. Based on Zoltek’s failure to
    raise its procedural argument, the Court concludes that Zoltek has abandoned the position. As
    such, the Court will turn to the merits of the Government’s argument.
    b. The Government’s Invalidity Contentions Under § 112, ¶ 1
    The ‘162 patent is a reissue of the ‘395 patent. In general, the issue before the Court is
    whether the claims and specification in the reissue patent go beyond the written description of
    the invention in the original patent application.
    Specifically, the parties’ dispute resolves itself into two separate questions. The first
    question is whether the specification, as originally filed, contains support for the amended claim
    language calling for “previously oxidized and stabilized” starting material, as opposed to
    affirmatively requiring a step of oxidizing and stabilizing. The Government argues that this
    amendment is not supported by the as-filed specification. Zoltek counters that the scope of the
    claims is unchanged, essentially driving at the point that the amendment is a superficial change
    made to accommodate changes in the market that allow for purchase of pre-made starting
    material.
    The second question is whether the amendment impermissibly removed the requirement
    that oxidation occurs on the “order of 220 Degrees Centigrade to effect molecular aromatic
    rearrangement.” See J2.133-J2.136 (specification amendments); J2.175-J2.181 (accepted claim
    8
    The America Invents Act amended § 112 in generally cosmetic ways, but those amendments
    are not applicable to this case. See Pub.L. No. 112-29, sec. 4(c), 
    125 Stat. 284
    , 297 (explaining
    that these amendments will not take effect until September 16, 2012, and only apply to patent
    applications filed on or after September 16, 2012). Thus, the prior version of § 112 applies in
    this case.
    20
    amendments). The Government argues that the removal of this requirement violates Federal
    Circuit precedent, such that the claims must be found invalid. Zoltek’s brief does not directly
    address this point.
    In order to better understand the Government’s written description argument, a brief
    review of the history of the ‘162 Patent is worthwhile. Three trial exhibits are relevant to the
    Government’s § 112 challenge: J1, the ‘162 Patent; J2, the prosecution history for the ‘162
    Patent; and J3, the prosecution history for the ‘395 Patent.
    The application that matured into the ‘395 Patent was filed on October 12, 1984, and it
    issued on March 1, 1988. Less than two years later, on February 20, 1990, Zoltek filed an
    application seeking reissue of the ‘395 Patent: (1) “for the reason that the specification and
    claims thereof are defective and insufficient … through inadvertence and oversight,” (2) to
    “more clearly describe and claim the invention in conformance with the requirements of 
    35 U.S.C. § 112
    ,” (3) to establish “the patentably distinguishing features of the Boyd invention over
    the cited prior art,” and (4) to add “a set of new claims … rephrased … to more precisely point
    out what is believed to be patentably novel.” J2.31-33. During these reissue proceedings, Zoltek
    amended some of the claim language, as demonstrated in claim 1:
    A method of manufacturing a plurality of different value controlled
    resistivity carbon fiber sheet products employing a carbonizable starting
    material; said method comprising [oxidizing and stabilizing the
    carbonizable fiber starting material at an elevated temperature of the
    order of 220 degrees Centigrade to effect aromatic rearrangement of
    the fibers,] selectively partially carbonizing [the] previously oxidized and
    stabilized fiber starting material for a predetermined period in an oxygen
    free atmosphere within a furnace at [a] selected temperature values within
    a temperature range from 370 degrees Centigrade to about 1300 degree
    Centigrade by soaking the stabilized fiber starting material at the selected
    temperature for the predetermined period of time to provide a [desired]
    preselected known volume electrical resistivity to the partially carbonized
    fibers corresponding to that volume electrical resistivity value required to
    provide the preselected desired surface resistance value for the finished
    sheet products, and thereafter processing the partially carbonized fibers
    into [desired electrical resistivity] homogeneous carbon fiber sheet
    products [having the form of non-woven paper or woven or knitted fabric
    sheet products] having the preselected desired surface electrical
    [resistivities] resistances.
    ‘162 Patent at 8:42-66 (bold added, italics in original).9
    The specification was also amended during reissue. Of particular relevance to the issues
    raised by the Government is the following amended statement, in context:
    9
    Recall that brackets indicate removal of language from the original claims, and italics indicate
    language added during reissue proceedings.
    21
    After heating and drawing the carbonizable material is oxidized at
    an elevated temperature of the order of 220 degrees Centigrade to effect
    aromatic molecular rearrangement of the starting material. In the event the
    precursor starting material previously has been stabilized and oxidized by
    a supplier of such material, then this step may be eliminated.
    ‘162 Patent 2:32-38. The italicized language was added during reissue proceedings.
    With this background in mind, the Court turns to the issues raised by the
    Government at trial. 
    35 U.S.C. § 112
    , ¶ 1 states:
    The specification shall contain a written description of the invention,
    and of the manner and process of making and using it, in such full, clear,
    concise, and exact terms as to enable any person skilled in the art to which
    it pertains, or with which it is most nearly connected, to make and use the
    same, and shall set forth the best mode contemplated by the inventor of
    carrying out his invention.
    This single paragraph is a patent defendant’s Swiss Army Knife: it places several distinct
    burdens upon a patent applicant, each of which must necessarily be met to obtain a valid patent.
    Fortunately, the Government only raises one of these burdens: written description.
    The determination of whether a patent complies with the written description requirement
    is a question of fact. Ariad Pharmaceuticals, Inc. v. Eli Lilly and Co., 
    598 F.3d 1336
    , 1351 (Fed.
    Cir. 2010) (en banc). “[T]he test for sufficiency is whether the disclosure of the application
    relied upon reasonably conveys to those skilled in the art that the inventor had possession of the
    claimed subject matter as of the filing date.” 
    Id.
     “The purpose of the written description
    requirement is to ensure that the scope of the right to exclude, as set forth in the claims, does not
    overreach the scope of the inventor’s contribution to the field of art as described in the patent
    specification.” 
    Id. at 1353-54
    .
    The first question is whether the specification, as originally filed, contains support for the
    amendment calling for “previously oxidized and stabilized” starting material, as opposed to
    requiring a step of oxidizing and stabilizing.
    In general, Zoltek’s position in its post-trial brief is that the Government’s § 112 ¶ 1
    argument has already been rejected by the Court in its decision on the Government’s earlier
    Motion for Partial Summary Judgment based on § 112 ¶ 2. See Zoltek Corp. v. United States,
    Civ. No. 96-166, Docket No. 90 (Fed. Cl. Sept. 23, 1999); see also Zoltek Post-Trial Br. at 35,
    37-38. Zoltek’s position, however, immediately raises the question of how a decision based on
    one part of a statute automatically disposes of an argument based on another part of a statute. In
    other words, it is more logical to assume that decisions based on different parts of a statute are
    independent of one another rather than that one decision compels the same result in another.
    Thus, Zoltek needs to persuade the Court how its ¶ 2 decision determines its ¶ 1 decision.
    22
    Zoltek’s argument on this point is imprecise. It notes that the issue in the ¶ 2 decision
    was indefiniteness due to a lack of a proper antecedent basis, which characterization is correct.
    Zoltek then quotes extensively from the Court’s ¶ 2 opinion, but with no argument on how the
    quoted text relates to the Government’s ¶ 1 argument in this phase of the case. Zoltek ends its
    discussion of the Court’s ¶ 2 with the following conclusory remark:
    This Court thoroughly dealt with this issue in its September 13, 1999
    Opinion… Asserting the same factually insufficient arguments to support
    a §112 lack of written description defense is simply a waste of this Court’s
    time.
    Zoltek Post-Trial Br. at 38.
    The touchstone for determining whether a claim is indefinite was stated in the Court’s ¶ 2
    decision: “Whether a claim is invalid under § 112 ¶ 2 requires a determination as to whether
    those skilled in the art would understand what is claimed when the claim is read in light of the
    specification.” See Zoltek Corp. v. United States, Civ. No. 96-166, Docket No. 90, at 3-4
    (quoting Messerschmidt v. United States, 
    29 Fed.Cl. 1
    , 41 (1993)). In its decision, the Court was
    asked to compare the claims and the specification to see whether there was an antecedent basis
    for the claims in the reissue patent that eliminated the step of oxidizing and stabilizing. The
    Court found that there was an antecedent basis such that one skilled in the art would be able to
    understand the scope of the claims in the reissue patent. Whether the claims and specification
    went beyond the written description is another matter. If this were not so, why would § 112 have
    a ¶ 1 and a ¶ 2? The most that the Court can discern in Zoltek’s post-trial brief argument on this
    issue is that the facts are identical in the Government’s arguments regarding ¶¶ 1 and 2. See
    Zoltek Post-Trial Br. at 35, 37-38.
    Considering Zoltek’s vague argument and examining its earlier decision and the different
    question presented to it now, the Court does not agree that its earlier opinion is controlling of the
    issue now at bar. Again, that decision was reached in the context of 
    35 U.S.C. § 112
    , ¶ 2, under
    which provision the Government argued that the claims were indefinite for lack of an antecedent
    basis because the “oxidizing and stabilizing” step had been deleted. The Court’s decision relied
    upon a sentence added during reissue proceedings, namely, the statement that “[i]n the event the
    precursor starting material previously has been stabilized and oxidized by a supplier of such
    material, then this step [oxidizing and stabilizing the starting material] may be eliminated.” See
    Zoltek Corp. v. United States, Civ. No. 96-166, Docket No. 90 at 5 (quoting ‘162 Patent at 2:36-
    38).
    The Court reached its conclusion in part on the basis of the amended specification. It is
    precisely that amendment that the Government now challenges, and the Court agrees with the
    Government’s position. Nothing in the original specification disclosed the possibility that the
    starting material could be oxidized and stabilized outside the confines of the described method
    (as the amended claims suggest), and as such, the specification amendment is unavailing.
    23
    The fact that oxidation and stabilization was allegedly part of the prior art, which fact the
    Court also relied upon in the 1999 Opinion, is irrelevant to the question of whether the written
    description requirement is satisfied. As the Federal Circuit recently stated,
    To satisfy the written description requirement, a patent applicant must
    convey with reasonable clarity to those skilled in the art that, as of the
    filing date sought, he or she was in possession of the invention. The
    invention is, for purposes of the “written description” inquiry, whatever is
    now claimed. Such description need not recite the claimed invention in
    haec verba but most do more than merely disclose that which would
    render the claimed invention obvious.
    ICU Medical, Inc. v. Alaris Medical Systems, Inc., 
    558 F.3d 1368
    , 1377 (Fed. Cir. 2009)
    (citations omitted; emphasis in original); see also PowerOasis, Inc. v. T-Mobile USA, Inc., 
    522 F.3d 1299
    , 1306-07 (Fed. Cir. 2008) (explaining that § 112, ¶ 1 “requires that the written
    description actually or inherently disclose the claim element”). As the Government asserts, the
    original specification discloses nothing that suggests a method calling for a previously oxidized
    fiber. It repeatedly calls for the party performing the steps of the invention to oxidize and
    stabilize the starting material as part of the description of the invention. As such, purchasing the
    pre-made starting materials was not disclosed in the original specification and independent
    claims 1, 11, 15 and 33 and those claims which depend upon them are invalid for lack of written
    description.
    The second question focuses in on the temperature requirement in contrast to the broader
    point of the stabilization and oxidation step of the first question. With respect to the question of
    whether the temperature requirement has been removed from the claims, the Court also finds that
    the claims are invalid. Once again, the disclosure contained in the specification consistently
    refers to the necessity of performing the oxidizing and stabilizing step at a temperature of the
    order of 220 degrees Centigrade in order to effect aromatic rearrangement of the molecules of
    the starting material. See ‘162 Patent at 2:33-35; 3:33-36; 4:46-49. In each instance where the
    oxidation and stabilization step is discussed (in both the original specification and the amended
    specification), the specification emphasizes the need to perform the step at an elevated
    temperature to achieve aromatic rearrangement. This temperature requirement, repeatedly
    emphasized in the original specification, is conspicuously absent from all of the reissued claims.
    In effect, then, the amended claims call for oxidation and stabilization at any temperature,
    while the original specification makes quite clear that this step must occur at a temperature on the
    order of 220 degrees Centigrade. This constitutes new matter, which may not be added during
    prosecution of the patent application. See Baldwin Graphic Systems, Inc. v. Siebert, Inc., 
    512 F.3d 1338
    , 1344 (Fed. Cir. 2008). The Baldwin case is instructive because it addressed a very
    similar modification: in that case, the applicant amended a claim limitation from “heat-sealed
    sleeve” to “sealed sleeve.” 
    Id.
     The Federal Circuit noted that allowing the claim term to be read
    as only requiring a “sealed sleeve” would broaden the patent beyond the original disclosure. 
    Id.
    As here, the applicant in Baldwin sought to remove a temperature-based requirement from the
    claims despite the fact that the originally-filed specification emphasized temperature. Thus, the
    Court finds that Baldwin is essentially on all fours with the issue now before the Court.
    24
    In sum, the written description and the claims in the original patent do not support the
    elimination of the oxidization and stabilization step and the elimination of oxidizing and
    stabilizing according to the temperature requirement.10 Doing so impermissibly broadens the
    patented process by reducing the number of steps required for infringement. A potential
    infringer need not practice the oxidation and stabilization step at the required temperature in
    order to infringe the ‘162 Patent, whereas that step was necessary in the ‘395 Patent. For that
    matter, a potential infringer need not practice the oxidation and stabilization step at all to infringe
    the ‘162 Patent. It is enough to purchase starting material that was previously oxidized and
    stabilized, regardless of how that oxidation and stabilization was achieved.
    For these reasons, the Court concludes that claims 1, 11, 15 and 33 (and all claims which
    depend therefrom) are invalid under 
    35 U.S.C. § 112
    , ¶ 1. There is no evidence in the trial
    record to support a conclusion that the originally filed disclosure of October 12, 1984, contained
    support for either (1) a method calling for previously oxidized fiber or (2) a method calling for
    oxidation at a temperature other than “at an elevated temperature of the order 220 Degrees
    Centigrade to effect molecular aromatic rearrangement of the starting material.”
    VI.     Conclusion
    After extraordinarily long proceedings and after hearing the testimony at trial, the Court
    is satisfied by the Government’s arguments that the ‘162 Patent’s claims at issue (claims 1-22
    and 33-38) in this litigation are invalid under 
    35 U.S.C. §§ 103
     and 112. Judgment in favor of
    the Government is, therefore, appropriate. The Clerk is directed to enter judgment accordingly.
    /s Edward J. Damich
    Edward J. Damich
    Senior Judge
    10
    In its previous decision, the Court stated that “it can hardly be said that the oxidizing and
    stabilizing step was removed from the Reissue ‘162.” Zoltek Corp. v. United States, Civ. No. 96-
    166, Docket No. 90 at 5. In the context of a ¶ 2 argument, this means that the step is referred to
    in the claims and the specification and is mentioned in the original patent as well. In the context
    of a ¶ 1 argument, although the step is found in the reissue patent, its elimination from the
    claimed process goes beyond the written description of the invention in the original ‘395 patent.
    25
    

Document Info

Docket Number: 1:96-cv-00166

Judges: Edward J. Damich

Filed Date: 3/31/2014

Precedential Status: Precedential

Modified Date: 3/3/2016

Authorities (27)

Gottschalk v. Benson , 93 S. Ct. 253 ( 1972 )

Parker v. Flook , 98 S. Ct. 2522 ( 1978 )

Life Technologies, Inc. v. Clontech Laboratories, Inc.,... , 224 F.3d 1320 ( 2000 )

Zoltek Corporation, Plaintiff-Cross v. United States , 442 F.3d 1345 ( 2006 )

Procter & Gamble Co. v. Teva Pharmaceuticals USA, Inc. , 566 F.3d 989 ( 2009 )

Diamond v. Diehr , 101 S. Ct. 1048 ( 1981 )

Brown & Williamson Tobacco Corporation v. Philip Morris ... , 229 F.3d 1120 ( 2000 )

Dystar Textilfarben Gmbh & Co Deutschland Kg v. C.H. ... , 464 F.3d 1356 ( 2006 )

PowerOasis, Inc. v. T-MOBILE USA, INC. , 522 F.3d 1299 ( 2008 )

Baldwin Graphic Systems, Inc. v. Siebert, Inc. , 512 F.3d 1338 ( 2008 )

Takeda Chemical Industries, Ltd. v. Alphapharm Pty., Ltd. , 492 F.3d 1350 ( 2007 )

Wyers v. Master Lock Co. , 616 F.3d 1231 ( 2010 )

Graham v. John Deere Co. of Kansas City , 86 S. Ct. 684 ( 1966 )

Mayo Collaborative Services v. Prometheus Laboratories, Inc. , 132 S. Ct. 1289 ( 2012 )

Rolls-Royce, PLC v. United Technologies Corp. , 603 F.3d 1325 ( 2010 )

ICU Medical, Inc. v. Alaris Medical Systems, Inc. , 558 F.3d 1368 ( 2009 )

In Re Kubin , 561 F.3d 1351 ( 2009 )

Ariad Pharmaceuticals, Inc. v. Eli Lilly and Co. , 598 F.3d 1336 ( 2010 )

Springs Window Fashions Lp, Shade-O-Matic Ltd., and Manor ... , 323 F.3d 989 ( 2003 )

KSR International Co. v. Teleflex Inc. , 127 S. Ct. 1727 ( 2007 )

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