Zoltek Corp. v. United States ( 2016 )


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  •   United States Court of Appeals
    for the Federal Circuit
    ______________________
    ZOLTEK CORPORATION,
    Plaintiff-Appellant
    v.
    UNITED STATES,
    Defendant-Appellee
    ______________________
    2014-5082
    ______________________
    Appeal from the United States Court of Federal
    Claims in No. 1:96-cv-00166-EJD, Judge Edward J.
    Damich.
    ______________________
    Decided: February 19, 2016
    ______________________
    DEAN A. MONCO, Wood, Phillips, Katz, Clark & Mor-
    timer, Chicago, IL, argued for plaintiff-appellant. Also
    represented by JOHN S MORTIMER; MEREDITH MARTIN
    ADDY, Katten Muchin Rosenman LLP, Chicago, IL.
    GARY LEE HAUSKEN, Commercial Litigation Branch,
    Civil Division, United States Department of Justice,
    Washington, D.C., argued for defendant-appellee. Also
    represented by DAVID M. RUDDY, JOYCE R. BRANDA, JOHN
    FARGO.
    _____________________
    2                                        ZOLTEK CORP.   v. US
    Before NEWMAN, CLEVENGER, and MOORE, Circuit Judges.
    NEWMAN, Circuit Judge.
    Zoltek Corporation seeks compensation from the
    United States for use, with the authorization and consent
    of the Departments of the Air Force and Navy, of the
    patented method of producing carbon fiber sheet products
    as claimed in United States Reissue Patent No. Re 34,162
    issued January 19, 1993 (“the ’162 patent”). The ’162
    patent is a reissue of U.S. Patent No. 4,728,395, issued
    March 1, 1988 to inventor George Boyd and assigned to
    Mr. Boyd’s employer Stackpole Fibers Company. The
    patent was acquired by Zoltek Corporation with its acqui-
    sition of Stackpole in 1988.
    Litigation history
    On March 25, 1996, Zoltek filed suit in the United
    States Court of Federal Claims (CFC) alleging that the
    process used to produce carbon fiber sheet materials for
    the B-2 Bomber and the F-22 Fighter Plane infringed the
    ’162 patent. This is the third appeal in this action. The
    factual background is set forth in the prior opinions of the
    CFC and this court.
    In the first appeal, this court answered a certified
    question to hold that the patentee has no cause of action
    against the United States when any step of the patented
    method is practiced outside of the United States, as for
    the F-22 Fighter. Zoltek Corporation v. United States,
    
    442 F.3d 1345
    , 1353 (Fed. Cir. 2006) (Plager, J., dissent-
    ing) (Zoltek I).
    On remand, the CFC granted Zoltek’s request for
    leave to amend its complaint to substitute as defendant
    Lockheed Martin, the general contractor for the F-22
    Fighter, and then granted Zoltek’s motion to transfer the
    count relating to the F-22 Fighter to the United States
    District Court for the Northern District of Georgia, where
    it was “reasonably plausible” that the court had jurisdic-
    ZOLTEK CORP.   v. US                                      3
    tion over an infringement suit against Lockheed. Zoltek
    Corporation v. United States 
    85 Fed. Cl. 409
    , 422 (2009).
    On Lockheed’s motion, this aspect was certified for ap-
    peal.
    The Federal Circuit then acted en banc (in part) and
    reversed its ruling in Zoltek I. This court recognized the
    liability of the United States for infringement by acts that
    are performed with its authorization and consent. 28
    U.S.C. § 1498(a) (“Whenever an invention described in
    and covered by a patent of the United States is used or
    manufactured by or for the United States without license
    of the owner thereof or lawful right to use or manufacture
    the same, the owner’s remedy shall be by action against
    the United States in the United States Court of Federal
    Claims for the recovery of his reasonable and entire
    compensation for such use and manufacture.”). By stat-
    ute the contractor is immunized from liability. 
    Id. (“use or
    manufacture … by a contractor … shall be construed as
    use or manufacture for the United States”). This court
    dismissed Lockheed as a party, negated the proposed
    transfer to Georgia, and remanded to the Court of Federal
    Claims for inclusion of counts for infringement with
    respect to both the F-22 Fighter and the B-2 Bomber.
    Zoltek Corporation v. United States, 
    672 F.3d 1309
    , 1311
    (Fed. Cir. 2012) (en banc) (Zoltek II).
    On remand, the CFC separated trial of the issues of
    validity and infringement, and denied discovery as to
    infringement with respect to the F-22 Fighter. Zoltek
    sought mandamus from this court concerning these
    actions; the petition was denied. In re Zoltek Corporation,
    526 F. App’x 956, 957 (Fed. Cir. 2013) (non-precedential).
    Trial proceeded in the CFC, limited to validity. The
    government challenged the ’162 patent under sections
    101, 103, and 112 of Title 35. The CFC sustained patent
    eligibility under section 101; that ruling is not appealed.
    4                                         ZOLTEK CORP.   v. US
    At trial, each side presented an expert witness, Dr.
    Brian Sullivan for the government and Mr. Zsolt Rumy
    for Zoltek. The CFC held the asserted claims invalid on
    the grounds of obviousness and inadequate written de-
    scription. Zoltek Corporation v. United States, No. 96-166
    C, 
    2014 WL 1279152
    (Fed. Cl. Mar. 31, 2014) (“CFC Op.”).
    Zoltek appeals, arguing that the CFC applied incorrect
    laws of written description and obviousness, that the CFC
    did not apply the appropriate burdens and standards of
    proof, and that the CFC erred in its conclusions.
    Zoltek also argues that the issues were improperly bi-
    furcated. We conclude that in the circumstances of this
    case, taking note of the government’s official invocation of
    state secret privilege, the CFC acted within its discretion
    in limiting trial initially to the issues of validity. Howev-
    er, as we next discuss, we conclude that the trial court
    erred in its judgment of patent invalidity.
    The Boyd Invention
    The ’162 patent is directed to a method of manufac-
    turing carbon fiber sheet products whose electrical resis-
    tivity is pre-selected and value-controlled by the described
    method. This method is based on Boyd’s discovery of a
    non-linear relationship among the heat treatment condi-
    tions, partial carbonization, and surface resistivity 1 of
    sheet products.
    The method as claimed in the reissue patent starts
    with a previously oxidized and stabilized carbonizable
    fiber, a product known in the prior art and commercially
    available. This oxidized fiber is then partially carbonized
    1   Throughout these proceedings, the terms resistivi-
    ty and resistance were often used interchangeably. The
    correctness of these usages is not at issue.
    ZOLTEK CORP.   v. US                                      5
    in accordance with the relationship discovered by Boyd, to
    produce a partially carbonized fiber whose sheet products
    have the desired pre-selected surface electrical resistance.
    This method permits production of carbonized sheets
    of pre-selected and uniform electrical resistance, and thus
    uniform pre-selected insulating properties. The ’162
    specification states that theretofore carbon fiber sheets
    having specified surface electrical resistance were availa-
    ble only by including other materials, such as glass or
    aluminum filaments, with the carbonized fibers. ’162
    patent, col.1 ll.49–60.
    Patent Figure 4 shows the foundation discovery of re-
    sistivity as a function of carbonizing temperature:
    The lower curve represents the volume resistivity for
    single fibers at the carbonizing temperature, and upper
    curves A and B show surface resistivities for one half
    6                                        ZOLTEK CORP.   v. US
    ounce per square yard and one ounce per square yard
    sheet products incorporating the designated partially
    carbonized fibers. The patent describes and exemplifies
    the preparation of fibers having the preselected partial
    carbonization, and the production of sheet products hav-
    ing the desired electrical properties. 
    Id., col.4 ll.19–23
    (“[T]he temperature-resistivity of the single carbonized
    fiber is translated into the preselected desired surface
    resistance of the resultant partially carbonized fiber sheet
    product produced with such fibers.”).
    It is not disputed that the non-linear relationship
    shown in Figure 4, and its application to achieve the
    results described in the ’162 patent, were not previously
    known. The government’s expert, Dr. Sullivan, stated to
    be one of the nation’s preeminent experts with a “thirty-
    year career in research and design relating to carbon fiber
    science,” U.S. Br. 22, testified that his calculations per-
    taining to his reproduction of the Figure 4 curve were
    based on data that were not in the prior art and were
    selected retrospectively. No reference showed the rela-
    tionship between volume or surface-resistivity of carbon
    fiber sheet products and treatment temperature of carbon
    fibers.
    The CFC held claims 1–22 and 33–38 of the reissue
    patent invalid on two grounds, (1) that they did not meet
    the written description requirement, and (2) that the
    claimed invention would have been obvious to a person of
    ordinary skill in this field at the time of the invention.
    I
    Written Description
    The claimed method is summarized in reissue claim 1,
    shown as in the reissue patent, with deletions from the
    original claim in brackets and additions in italics—for
    these changes are the basis of the CFC’s ruling of invalid-
    ity on the ground of inadequate written description:
    ZOLTEK CORP.   v. US                                      7
    1. A method of manufacturing a plurality of dif-
    ferent value controlled resistivity carbon fiber
    sheet products employing a carbonizable fiber
    starting material; said method comprising [oxidiz-
    ing and stabilizing the carbonizable fiber starting
    material at an elevated temperature of the order
    of 220 degrees Centigrade to effect molecular ar-
    omatic rearrangement of the fibers,] selectively
    partially carbonizing [the] previously oxidized and
    stabilized fiber starting material for a predeter-
    mined period in an oxygen free atmosphere within
    a furnace at [a] selected temperature values with-
    in a temperature range from 370 degrees Centi-
    grade to about 1300 degrees 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 elec-
    trical 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 [resistivi-
    ties] resistances.
    The CFC held that the original patent did “not sup-
    port the elimination of the oxidation and stabilization
    step” from the reissued claims, and that this rendered the
    claims “invalid for lack of written description.” CFC Op.
    at *20-21. The CFC explained that the reissue “imper-
    missibly broadens the patented process by reducing the
    number of steps required for infringement.” 
    Id. at *21.
    The CFC stated that “although the step is found in the
    reissue patent, its elimination from the claimed process
    8                                          ZOLTEK CORP.   v. US
    goes beyond the written description of the invention in the
    original ’395 patent.” 
    Id. at n.10
    (emphasis in original).
    The elimination of the preparation of the starting ma-
    terial broadened the reissue. However, a broadening
    reissue is not improper if filed within two years of issu-
    ance. A patentee is entitled to a reissue “enlarging the
    scope of the claims,” when, as here, the reissue applica-
    tion is filed “within two years from the grant of the origi-
    nal patent.” 35 U.S.C. § 251(d).
    The CFC also held that the broadened claim is not
    supported in the specification, holding that it is irrelevant
    that the omitted oxidizing and stabilizing step is fully
    described in the specification as well as being in the prior
    art. The CFC held that the preparation of the known
    starting material must be included in the claim, that it is
    insufficient that the reissue claim requires that these
    steps be performed, and that whether these steps were
    known to the prior art is “irrelevant to the question of
    whether the written description requirement is satisfied.”
    CFC Op. at *19.
    There was no argument as to insufficiency of either
    the prior art or the content of the specification, in describ-
    ing the starting material. There was no allegation that a
    person of ordinary skill in this field would not understand
    the description in the specification. The original specifi-
    cation plainly, and without dispute, describes that the
    starting material is an oxidized and stabilized fiber, cites
    references showing this known material, and describes its
    preparation. That a previously oxidized and stabilized
    starting material was known to a person of ordinary skill
    in the field was recognized by the reissue Examiner in his
    statement that:
    Ex[amine]r agreed with applicant that partial ox-
    idation & heat stabilization temp. need not be re-
    cited in the claims since this temp. is within the
    ZOLTEK CORP.   v. US                                      9
    prior art & claims do not have to recite what is
    well known in the prior art.
    Examiner Interview Summary, Reissue Application No.
    07/483,531 (May 5, 1992).
    The CFC had previously construed the reissue claims
    as supported by the specification, finding that the reissue
    claims were substantially the same as in the parent
    patent and properly supported. The court stated:
    [I]t can hardly be said that the oxidizing and sta-
    bilizing step was removed from Reissue ’162. On
    the contrary, when the step was removed the ex-
    aminer rejected the application until Zoltek added
    “previously” in the claims to refer back to this de-
    scription of the method which requires it unless a
    previously oxidized and stabilized material is pur-
    chased.
    Opinion on Defendant’s Motion for Partial Summary
    Judgment on Matters Relating to Reissue filed on Janu-
    ary 15, 1999, No. 96-166 C (Fed. Cl. Sept. 13, 1999) (un-
    published).
    The government argues that the asserted claims are
    not supported in the specification because the specifica-
    tion does not state that these steps need not be performed
    by the same entity. The question of who performs steps of
    a fully described invention, including preparation of a
    known starting material, is not a matter of the written
    description requirement.
    The purpose of the written description requirement is
    to assure that the public receives sufficient knowledge of
    the patented technology, and to demonstrate that the
    patentee is in possession of the invention claimed. See In
    re Skvorecz, 
    580 F.3d 1262
    , 1269 (Fed. Cir. 2009). The
    requirement is applied in the context of the state of
    knowledge at the time of the invention. Capon v. Eshhar,
    
    418 F.3d 1349
    , 1358 (Fed. Cir. 2005). The written de-
    10                                          ZOLTEK CORP.   v. US
    scription “need not include information that is already
    known and available to the experienced public.” Space
    Sys./Loral, Inc. v. Lockheed Martin Corp., 
    405 F.3d 985
    ,
    987 (Fed. Cir. 2005); see Enzo Biochem, Inc. v. Gen-Probe
    Inc., 
    323 F.3d 956
    , 970 (Fed. Cir. 2002) (“[The written]
    description is the quid pro quo of the patent system; the
    public must receive meaningful disclosure in exchange for
    being excluded from practicing the invention for a limited
    period of time.”).
    Here, the ’162 specification describes the preparation
    of the starting material, and states that it is commercially
    available. ’162 patent, col.4 ll.45-55 (“[T]he carbonizable
    tow is supplied to an oxidation operation 14 where it is
    stabilized by being heated in atmospheric oxygen to a
    temperature of about 220 degrees Centigrade . . . . The
    resulting oxidized tow is sold under the trademark
    ‘PYRON.’”). The government does not argue that a person
    of ordinary skill would not be able to make or acquire the
    starting material based on the description in the specifi-
    cation.
    The written description requirement relates to
    whether the patentee possessed the invention that is
    claimed. There was no suggestion that a person of ordi-
    nary skill would not have understood that Boyd was in
    possession of the invention that he claimed. See Centocor
    Ortho Biotech, Inc. v. Abbott Labs., 
    636 F.3d 1341
    , 1348
    (Fed. Cir. 2011) (“To satisfy the written description re-
    quirement, the 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, and
    demonstrate that by disclosure in the specification of the
    patent.”) (internal quotation marks omitted); see also
    Alcon Research Ltd. v. Barr Labs., Inc., 
    745 F.3d 1180
    ,
    1191–92 (Fed. Cir. 2014) (“Critically, Barr adduced no
    evidence, let alone clear and convincing evidence, that
    was probative of whether an ordinarily skilled artisan
    would not have understood from the disclosures of Al-
    ZOLTEK CORP.   v. US                                      11
    con’s . . . patents that the patentees invented, or pos-
    sessed, the methods of the asserted claims. Without that
    evidence, there was no basis on which to find a lack of
    adequate written description.”).
    The CFC stated its concern that the reissue patent
    claims could be infringed by an entity that did not itself
    make the starting material, but purchased the known
    starting material from a commercial source. However,
    the reissue statute provides that reissue is available “by
    reason of the patentee claiming more or less than he had
    a right to claim . . . for the invention disclosed in the
    original patent.” 35 U.S.C. § 251(a). A validly obtained
    reissue does not violate the written description require-
    ment if the patentee can reach an enlarged scope of
    possible infringement.
    It is not an improper broadening amendment when a
    reissue applicant, with the considered agreement of the
    reissue Examiner, substitutes a preparatory step known
    to those skilled in the art at the time of the invention with
    a requirement to start with the product of that known
    preparatory step. The CFC’s emphasis on who might
    infringe the broadened reissue claims is an issue of in-
    fringement, not written description.
    We conclude that the CFC erred in holding reissue
    claims 1–22 and 33–38 invalid for failure to meet the
    written description requirement of section 112. That
    ruling is reversed.
    II
    Obviousness
    The science of carbonized fiber materials had been the
    subject of study well before the Boyd patent application
    was filed, as exemplified in the references cited during
    patent prosecution and in these proceedings.
    12                                        ZOLTEK CORP.   v. US
    The CFC relied on the government’s expert Dr. Sulli-
    van, who cited references concerning carbon fiber prod-
    ucts and developed a mathematical formula from which
    he generated a graph duplicating that in Figure 4 of the
    ’162 patent. To produce this graph, Dr. Sullivan used
    data from the ’162 patent record, from a Zoltek publica-
    tion issued in 2000, and various references and articles.
    He cited:
    [1] Akio Shindo, Studies on Graphite Fiber, Govern-
    ment Industrial Research Institute of Osaka (1961), is a
    research report discusses the manufacture and use of
    carbon fibers of polyacrylonitrile. Shindo states that
    increasing heat-treatment temperature of the fiber results
    in increased conductivity of the fiber. Shindo does not
    show or suggest the non-linear relationship between
    temperature and resistivity that was discovered by Boyd,
    or the use of such relationship to control surface resistivi-
    ty.
    [2] Kitago, U.S. Patent No. 3,998,689 (Dec. 21, 1976),
    describes the production of carbon fiber sheets by a pro-
    cess that combines chopped carbon fibers with other
    ingredients to form a slurry, which is shaped into a sheet,
    saturated with a resin, and then carbonized, to form a
    conductive sheet product. Kitago provides data for sheets
    carbonized at 1000°C and 2000°C, showing significantly
    lower resistivity at the higher temperature. Kitago does
    not show or suggest the non-linear relationship discovered
    by Boyd, or the use of such relationship to control surface
    resistivity.
    [3] Layden, U.S. Patent No. 4,080,413 (Mar. 21, 1978),
    shows carbonization of chopped polyacrylonitrile fiber
    sheets over the range of 1000°C to 1260°C, to produce
    hard, inflexible products with extremely low surface
    resistivities, suitable for use as fuel cell electrodes. Ley-
    den does not show or suggest the non-linear relationship
    ZOLTEK CORP.   v. US                                    13
    discovered by Boyd, or the use of such relationship to
    control surface resistivity.
    [4] Topchjiev, U.K. Patent No. 979,122 (Jan. 1, 1965),
    entitled “Method of Producing Semiconductive Polymer
    Materials,” uses oxidized and stabilized carbon fibers that
    are heat treated to produce materials with semiconductor
    properties electrical conductivity. Topchjiev does not
    show or suggest the non-linear relationship discovered by
    Boyd, or the use of such relationship to control surface
    resistivity.
    [5] D.B. Fischbach & Kunio Komaki, Electrical Re-
    sistance of Carbon Fibers, University of Washington
    (1979), is an article that explains that increasing the
    treatment temperature results in decreased volume
    resistivity. This article does not show or suggest the non-
    linear relationship discovered by Boyd, or the use of such
    relationship to control surface resistivity.
    These references variously show the heat treatment of
    carbonized fibers and their resistivities or conductivities
    at various treatment temperatures.             On cross-
    examination, Dr. Sullivan agreed that these references
    alone do not establish obviousness. The following ex-
    change took place:
    Q. And the Fischbach and Komaki article . . . the
    Topchjiev patent . . . the Layden patent . . . all
    disclose nothing more than what was disclosed in
    the Otani reference before the Patent Office, cor-
    rect?
    A. I believe that is correct, yes.
    Q. And I believe it’s also your testimony — prior
    testimony that the Topchjiev patent and the Lay-
    den patent, by themselves, would not be sufficient
    to render the Zoltek patent obvious, correct?
    A. Yes, I think that is correct.
    14                                         ZOLTEK CORP.   v. US
    Trial Tr. 269:5–15.
    Instead, Dr. Sullivan relied on a mathematical formu-
    la he derived from the Rule of Mixtures, 2 citing several
    articles, viz., “Theory of Reinforced Materials” by Z.
    Hashin (1972), “Analysis of Composite Materials—A
    Survey” by Z. Hashin (1981), “An Analysis Model for
    Spatially Oriented Fiber Composites” by B.W. Rosen et al.
    (1977), and “Mechanics of Composite Materials” by R.
    Christensen (1979). The position of Dr. Sullivan was
    summarized at trial as follows:
    Q.: So, to sum up your testimony, Dr. Sullivan,
    you’re asserting that it would be obvious to a per-
    son of ordinary skill in the art, as of October 1984,
    to rely upon four publications which do not men-
    tion surface resistivity, partially carbonized or
    semi-conductive carbon fibers, or the method to
    control the surface resistivity of carbon fiber sheet
    products made from the — made from the partial-
    ly carbonized fibers and controlling the volume re-
    sistivity of the partially carbonized fiber, the 1972
    Hashin and the 1977 Rosen articles referring to
    structural fibers, that it would have been obvious
    to a person of ordinary skill in the art, as of Octo-
    ber of 1984, to construct the mathematical meth-
    odology you described on your direct examination
    2  The Rule of Mixtures is a rule of materials science
    in which a weighted mean is used to predict properties,
    including electrical conductivity, of a composite material
    made up of continuous and unidirectional fibers. It is a
    mathematical equation by which properties of the indi-
    vidual components of a mixture are weighted by their
    volume fractions.
    ZOLTEK CORP.   v. US                                     15
    to obtain carbon fiber sheet products having a
    controlled surface resistivity?
    [Objection]
    THE COURT: . . . . do you want the question bro-
    ken out or —
    THE WITNESS: No, because that is my testimo-
    ny.
    Trial Tr. 245:12–246:8.
    No reference mentions “surface resistivity” or “the re-
    quired limitation to pre-select individual fiber volume
    resistivities to produce sheet products with desired sur-
    face resistivities.” Zoltek Br. 4–5 (citing record). Dr.
    Sullivan testified that he was not aware of anyone, includ-
    ing himself, who had previously used the mathematical
    formula he created to determine carbonization tempera-
    ture-resistivity relationships.
    The ’162 patent teaches carbonized sheets that “re-
    quire no insulating elements such as glass fiber in order
    to adjust the surface resistances of the sheet product to a
    desired surface resistance volume.” ’162 patent, col.2 ll.7–
    11. The novelty of such sheets was not disputed. The
    patent prosecution and trial records contain a letter from
    George Rodgers, a materials engineer at Northrup
    Grumman (the general contractor for the B-2 Bomber),
    who stated:
    In December 1983, the Material & Processes De-
    partment 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. . . . At the time the order was placed,
    Northrop Materials & Processes had never seen a
    16                                       ZOLTEK CORP.   v. US
    material of this type before and was not aware of
    any other company that could supply material in
    this form with varying electrical properties.
    Letter from George Rodgers dated August 6, 1987, Prose-
    cution File Wrapper 187. By deposition on August 18,
    2009, Mr. Rodgers testified that, with regard to the accu-
    racy of the contents of that letter, viewed in hindsight, “I
    wouldn’t change anything.” Rogers Dep. 34:6.
    Dr. Sullivan also testified that he had no basis to dis-
    agree with the Rodgers letter. Specifically, he testified:
    Q. Okay. And the last sentence reads, “At the time
    the order was placed, Northrop Materials & Pro-
    cesses had never seen a material of this type and
    were not aware of any other company that could
    supply material in this form with varying electri-
    cal properties.” Do you see that?
    A. I do.
    Q. Okay. And you have no basis to disagree with
    that statement, do you?
    A. No, I don’t.
    Trial Tr. 274:16–25.
    There is no teaching or suggestion in the prior art to
    select the data that Sullivan selected, and to plug the
    selected data into the mathematical equation that Sulli-
    van devised. As summarized by Zoltek, “Sullivan used
    the variable fiber volume resistivities shown [in] the file
    history of the ’395 parent patent at various temperatures
    and constant volume resistivities for each remaining
    component of the sheet products in making his calcula-
    tions.” Zoltek Br. 23 (citing record). This is not evidence
    of obviousness. See EWP Corp. v. Reliance Universal,
    Inc., 
    755 F.2d 898
    , 907 (Fed. Cir. 1985) (“Patentability
    under the statute, § 103, is a decision made on the basis of
    a hypothesis: Would the invention have been obvious ‘to a
    ZOLTEK CORP.   v. US                                    17
    person having ordinary skill in the art to which the sub-
    ject matter pertains’ in the light of all knowledge con-
    veyed by ‘prior art’ as defined by statute and case law.”).
    Zoltek also points to several errors made by Dr. Sulli-
    van, to which Sullivan admitted on cross-examination.
    Zoltek mentions “Sullivan’s erroneous fiber volume frac-
    tion (0.3), fiber density (1.81 g/cm3), and resin volume
    fraction (0.54).” Zoltek Br. 24 n.5. With respect to Dr.
    Sullivan’s testimony that he used a volume fraction of 0.3
    in his Rule of Mixtures calculation purportedly reflective
    of the Zoltek patented product, Zoltek’s expert Mr. Rumy
    testified:
    In the paper process, you can’t even make that
    kind of conduct — that kind of concentration of
    carbon fibers, only possibly by taking a regular
    paper product that is made probably no more than
    10 to 15 percent carbon content, and then you
    compress it. But we — that’s — that would be de-
    stroying our entire invention.
    Trial Tr. 326:22–327:2.
    As another error, while the Rule of Mixtures requires
    the use of volume fractions of each component of a compo-
    site mixture, Dr. Sullivan used a weight percent for each
    component in order to place data points on the Figure 4
    template. See Zoltek Br. 28.
    These errors taint Dr. Sullivan’s reproduction of Fig-
    ure 4. Indeed, Dr. Sullivan made several confessions of
    error in his selection or calculation of data points to
    produce the graph he created to track Figure 4. As an-
    other example:
    Q. . . . So, you’ve inserted a uniform density of
    1.81 grams per cubic centimeter, which is the den-
    sity of fully carbonized fibers, when there should
    have been a gradually increasing density from
    18                                         ZOLTEK CORP.   v. US
    1.36 through the temperature range shown on
    [your spreadsheet], correct?
    [Objection for lack of foundation; overruled]
    A. It is true that the carbon fiber density will
    change with heat treatment temperature and that
    it probably is true that a different value, other
    than a uniform 1.81, would have been more ap-
    propriate
    Q. Okay.
    A. I will concede that.
    Trial Tr. 257:2–19.
    Zoltek also points to Dr. Sullivan’s admission that his
    critical fiber volume fraction, 0.3%/30%, fundamental to
    his calculations based on the Rule of Mixtures, was wrong
    and that Dr. Sullivan used data from a 2000 Zoltek User’s
    Guide directed to fully carbonized composites at a tem-
    perature of 1400°C, a reference published fourteen years
    after the ’162 patent’s filing date.
    Dr. Sullivan conceded that there were errors in his
    calculations, stating that the reason was that he did not
    have complete information. That is not surprising, for
    there was not complete information in the prior art—
    weighing against the government’s argument that it
    would have been obvious to a person of ordinary skill to
    recreate the Boyd graph from known information. Dr.
    Sullivan’s plaint that he could not accurately duplicate
    Boyd’s discovery because of lack of information is power-
    ful evidence of non-obviousness—not the contrary.
    Dr. Sullivan stated that he obtained some of the val-
    ues he used in his calculations from the ’162 patent itself.
    However, for the volume fraction of carbon fiber, de-
    scribed by Dr. Sullivan as by far the most important
    element in the equation, he ignored the figure in the
    patent (0.83) and used a value of 0.3, which he testified
    ZOLTEK CORP.   v. US                                      19
    came from a Zoltek 2000 User’s Guide. Zoltek points out
    that this Guide was directed to an entirely different
    product, and also that the Guide was written fourteen
    years after the ’162 patent application was filed. There
    was no showing that the information on which Dr. Sulli-
    van relied was available to persons of skill at the time of
    the Boyd invention. Zoltek states, and Dr. Sullivan did
    not contradict, that Dr. Sullivan selected values from
    various sources in order to fit the template of Boyd’s
    results.
    Neither the government’s attorney argument, nor Dr.
    Sullivan’s testimony, nor the opinion of the Court of
    Federal Claims, points to any suggestion in the prior art
    to select the data selected by Dr. Sullivan and create the
    mathematical formula to construct a graph to track
    Figure 4. See KSR Int’l Co. v. Teleflex, Inc., 
    550 U.S. 398
    ,
    418–19 (2007) (“Although common sense directs one to
    look with care at a patent application that claims as
    innovation the combination of two known devices accord-
    ing to their established functions, it can be important to
    identify a reason that would have prompted a person of
    ordinary skill in the relevant field to combine the ele-
    ments in the way the claimed new invention does. This is
    so because inventions in most, if not all, instances rely
    upon building blocks long since uncovered, and claimed
    discoveries almost of necessity will be combinations of
    what, in some sense, is already known.”).
    Even Dr. Sullivan called his reconstruction of Figure
    4 “somewhat arbitrary.” Trial Tr. 259:18. Hindsight
    reconstruction for litigation ends is not of probative value.
    See Outside the Box Innovations, LLC v. Travel Caddy,
    Inc., 
    695 F.3d 1285
    , 1298 (Fed. Cir. 2012) (“Precedent
    recognizes the pitfalls of judicial hindsight exercised at
    the time of litigation . . . .”).
    The Court has recognized “the distortion caused by
    hindsight bias” and “arguments reliant upon ex post
    20                                        ZOLTEK CORP.   v. US
    reasoning” in determining obviousness. 
    KSR, 550 U.S. at 421
    ; see InTouch Technologies, Inc. v. VGO Commc’ns,
    Inc., 
    751 F.3d 1327
    , 1351 (Fed. Cir. 2014) (“It appears
    that [the expert] relied on the . . . patent itself as her
    roadmap for putting what she referred to as pieces of a
    ‘jigsaw puzzle’ together.”); W.L. Gore & Associates, Inc. v.
    Garlock, Inc., 
    721 F.2d 1540
    , 1553 (Fed. Cir. 1983) (“To
    imbue one of ordinary skill in the art with knowledge of
    the invention in suit, when no prior art reference or
    references of record convey or suggest that knowledge, is
    to fall victim to the insidious effect of a hindsight syn-
    drome wherein that which only the inventor taught is
    used against its teacher.”).
    The government does not attempt to rehabilitate Dr.
    Sullivan’s errors. Instead, the government’s argument
    appears to be that since Dr. Sullivan is a renowned scien-
    tist in this field, and since Dr. Sullivan was able to repro-
    duce the Figure 4 graph, it was obvious to do so. This was
    error, since, as we have repeatedly cautioned, “[t]hat
    which may be made clear and thus ‘obvious’ to a court,
    with the invention fully diagrammed and aided . . . by
    experts in the field, may have been a break-through of
    substantial dimension when first unveiled.” Uniroyal,
    Inc. v. Rudkin-Wiley Corp., 
    837 F.2d 1044
    , 1051 (Fed. Cir.
    1988) (internal quotation marks omitted); see also 
    KSR, 550 U.S. at 421
    (“A factfinder should be aware, of course,
    of the distortion caused by hindsight bias and must be
    cautious of arguments reliant upon ex post reasoning”)
    (citing Graham v. John Deere Co., 
    383 U.S. 1
    , 36 (1966) as
    “warning against a temptation to read into the prior art
    the teachings of the invention in issue and instructing
    courts to guard against slipping into use of hindsight”)
    (internal quotation marks omitted); W.L. 
    Gore, 721 F.2d at 1553
    (“It is difficult but necessary that the deci-
    sionmaker forget what he or she has been taught at trial
    about the claimed invention and cast the mind back to the
    time the invention was made (often as here many years),
    ZOLTEK CORP.   v. US                                    21
    to occupy the mind of one skilled in the art who is pre-
    sented only with the references, and who is normally
    guided by the then-accepted wisdom in the art.”).
    There was not clear and convincing evidence of obvi-
    ousness of the Boyd discovery and its use to produce
    carbon fiber sheets of pre-selected homogeneous electrical
    resistance. The CFC’s ruling of invalidity on the ground
    of obviousness is reversed.
    CONCLUSION
    The Court of Federal Claims erred in holding the as-
    serted claims of the ’162 patent invalid under sections 103
    and 112. The judgment of invalidity is reversed. We
    remand for resolution of all remaining issues.
    REVERSED AND REMANDED