Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T07:04:41.493705Z
Paper Citation Record · LEDGER
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials
As of 17 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2607.11176.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
64 of 64 outbound references displayed
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Outbound references
Observation b8e0dbb4-a820-4cc9-9687-b6abf542df0b · outbound
This paper cites a” and “b.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials a” and “b
Reference 1
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Observation df9e54d2-ccc5-4c85-8526-164824d3d68e · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 2
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Observation b1a28655-37c4-4ff0-824c-65f733b9d485 · outbound
This paper cites Hirth and J.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Hirth and J
Reference 3
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Observation ed83bfb0-fa1e-4612-9239-d8ad64f8a606 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 4
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Observation acb587bd-80e5-4b42-b363-da4a1e3eb41e · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 5
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Observation d413214b-799e-474c-b0b4-7dbaf2a4135d · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 6
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Observation 05531550-c826-435f-943f-5b7861ec49d1 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 7
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Observation 66c31356-aabc-4b80-a596-1e08d21a79da · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 8
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Observation 1d09dede-f1a0-47f1-96a9-69775d5d86e3 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 9
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Observation c0e5479d-5220-4da8-a770-de027cedfc43 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 10
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Observation 72a4c5bd-7c5b-4740-bec9-15b10573a534 · outbound
This paper cites Sangghaleh and M.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Sangghaleh and M
Reference 11
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Observation d3b90a06-7052-4c95-ae31-367fe129c8ed · outbound
This paper cites Hirth, Dislocations, steps and disconnections at interfaces, Journal of Physics and Chemistry of Solids 55, 985 (1994).
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Hirth, Dislocations, steps and disconnections at interfaces, Journal of Physics and Chemistry of Solids 55, 985 (1994)
Reference 12
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Observation 9de51162-b8b0-4f8f-8df0-f2fa5fb48aa3 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 13
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Observation 47a1b09b-51d4-47a6-9a07-0e1230773ee7 · outbound
This paper cites disconnection.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials disconnection
Reference 14
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Observation d4d6350f-8e5d-46af-91f8-68424fb37eec · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 15
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Observation 11ccba8d-8979-4a33-b93f-ad4e9558006a · outbound
This paper cites Bollmann, Crystal defects and crystalline interfaces (Springer Berlin, Heidelberg, 1970).
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Bollmann, Crystal defects and crystalline interfaces (Springer Berlin, Heidelberg, 1970)
Reference 16
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Observation e848a85f-e2d7-4de1-bdfb-896dbd0493e4 · outbound
This paper cites Zhang and G.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Zhang and G
Reference 17
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Observation bdff055d-c676-46d4-8589-8a29e69f5d5c · outbound
This paper cites Qiu, M.-X.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Qiu, M.-X
Reference 18
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Observation fc5d39f4-28eb-4b47-9a1a-6344bbd5e4b7 · outbound
This paper cites Zhang, J.- Y.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Zhang, J.- Y
Reference 19
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Observation 8eb7c032-db37-4eb6-83b5-50123153105d · outbound
This paper cites Nye, Some geometrical relations in dislocated crystals, Acta Metallurgica 1, 153 (1953).
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Nye, Some geometrical relations in dislocated crystals, Acta Metallurgica 1, 153 (1953)
Reference 20
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Observation d9c0e962-f596-4a30-83f7-6df33ed92770 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 21
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Observation 4e204b2e-1457-4de1-9fca-2527192a3c02 · outbound
This paper cites Sutton, V.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Sutton, V
Reference 22
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Observation 3d8b1549-50e7-43e2-b914-fec4b3fa0667 · outbound
This paper cites Schwartz, V.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Schwartz, V
Reference 23
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Observation 324f8afd-6e1b-4b84-89e4-caa6e289a91d · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 24
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Observation 9f694ab9-0bec-4840-aff7-9384b66e590a · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 25
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Observation a6b08fbc-0b33-498d-ad1a-7fa0f8a59749 · outbound
This paper cites Marquis and D.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Marquis and D
Reference 26
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Observation 9ac61e0f-09e7-45cc-9f68-b842a93044a2 · outbound
This paper cites Hwang, D.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Hwang, D
Reference 27
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Observation 872cf68e-e0ee-499c-9ad8-5ade26111fb1 · outbound
This paper cites Balluffi, A.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Balluffi, A
Reference 28
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Observation 2c37361e-2ed1-4349-922a-9c04ccdce6f9 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 29
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Observation a1d5c0bd-ad64-424a-91c5-20ef24869eb9 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 30
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Observation 98af6241-aa7b-4985-ae82-6c8a422e333f · outbound
This paper cites Y e and W.-Z.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Y e and W.-Z
Reference 31
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Observation 851ea0bf-48f8-4017-8b97-28778007ae37 · outbound
This paper cites Y e, W.-Z.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Y e, W.-Z
Reference 32
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Observation 8129c301-81e4-41d4-b6d3-e195127ece78 · outbound
This paper cites Furuhara, J.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Furuhara, J
Reference 33
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Observation 31c79f32-b75b-4a1f-8067-1eb394f87abc · outbound
This paper cites Miyano, K.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Miyano, K
Reference 34
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Observation 7bbae224-19e0-4915-a99c-cf2b2e19d597 · outbound
This paper cites Zhang, F.-Z.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Zhang, F.-Z
Reference 35
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Observation beb49689-c8a1-4c99-901b-821f6bbe036e · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 36
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Observation 9b439070-d4dc-4ee3-a606-853fbf18e0ac · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 37
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Observation ebbddb73-b23d-4a3e-9935-2a7e78ec0fca · outbound
This paper cites Wechsler, D.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Wechsler, D
Reference 38
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Observation af0b3b85-f3c7-4690-8226-7f599deb7f7b · outbound
This paper cites Bowles and J.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Bowles and J
Reference 39
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Observation 9d1fc4af-8d20-4806-a256-458612e5a784 · outbound
This paper cites Pond and J.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Pond and J
Reference 40
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Observation fe48d69e-2997-4b93-8800-4af02c553e8a · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 41
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Observation 1527e2fd-cdf9-4c67-891c-5d17c9e9ee9a · outbound
This paper cites Zheng, R.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Zheng, R
Reference 42
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Observation b9ca8125-ee7f-4d70-af85-c0cb3cdd696b · outbound
This paper cites min 𝜃 maximizes compatibility with the misorientation on other facets of the 𝛼 nucleus.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials min 𝜃 maximizes compatibility with the misorientation on other facets of the 𝛼 nucleus
Reference 43
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Observation be9e4f19-e389-4333-9da6-0bc59ccf89da · outbound
This paper cites Pitsch and A.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Pitsch and A
Reference 44
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Observation e646412c-13c5-4df3-870a-af471e5a4abb · outbound
This paper cites Dahmen, Orientation relationships in precipitation systems, Acta Metallurgica 30, 63 (1982).
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Dahmen, Orientation relationships in precipitation systems, Acta Metallurgica 30, 63 (1982)
Reference 45
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Observation 6cf4567f-637e-4bf3-9220-31f1bde0c3f8 · outbound
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A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 46
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Observation 3812c2c9-843a-4592-85d1-8b722b2f824b · outbound
This paper cites Xiang, H.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Xiang, H
Reference 47
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Observation 1d44ac08-7171-4702-8519-eab54cbae64f · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 48
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Observation 4a2aa07f-e7e4-4b81-8836-a9ef6960a11b · outbound
This paper cites +” lattice of NS is deformed to P 1A1O in RS, while the segment OA2P in the “−.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials +” lattice of NS is deformed to P 1A1O in RS, while the segment OA2P in the “−
Reference 49
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Observation e7b85477-f0e9-40ad-8ef8-5d2662f5f2e6 · outbound
This paper cites By analogy, the step height content arises from the incompatibility of an additional scalar order parameter, denoted by 𝜗.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials By analogy, the step height content arises from the incompatibility of an additional scalar order parameter, denoted by 𝜗
Reference 50
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Observation 6e5c7b16-ca06-4753-a593-62c8947ced90 · outbound
This paper cites Burgers-step.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Burgers-step
Reference 51
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Observation 5a0e0581-726c-4a76-a652-006cc2adeb2b · outbound
This paper cites 11 (a) Δθ = 2.2o (b) Δθ = 4.5o FIG.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials 11 (a) Δθ = 2.2o (b) Δθ = 4.5o FIG
Reference 52
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Observation 8dfb765c-ab25-457f-b30d-104537105e0c · outbound
This paper cites Solving the qGFBE with Eq.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Solving the qGFBE with Eq
Reference 53
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Observation 2ec01a4a-b398-4e72-9e89-1fad80328265 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 54
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Observation cd6e48ea-035b-4e50-9cea-4c80f70bdbe6 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 55
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Observation f13200ec-20f1-4ea7-b08a-22607d94a665 · outbound
This paper cites (91) The condition for the existence of a qGFBE solution can be summarized as 8>>>> < >>>>: 𝒗 (1) ( ˆ𝒐, 𝜃) = 𝜆 (1) ˆ𝒏 𝒗 (2) ( ˆ𝒐, 𝜃) = 𝜆 (2) ˆ𝒏 ˆ𝒐 · ˆ𝒐 = 1 ˆ𝒏 · ˆ𝒏 = 1.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials (91) The condition for the existence of a qGFBE solution can be summarized as 8>>>> < >>>>: 𝒗 (1) ( ˆ𝒐, 𝜃) = 𝜆 (1) ˆ𝒏 𝒗 (2) ( ˆ𝒐, 𝜃) = 𝜆 (2) ˆ𝒏 ˆ𝒐 · ˆ𝒐 = 1 ˆ𝒏 · ˆ𝒏 = 1
Reference 56
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Observation 0c252031-a4e9-4fc6-9b6c-90282a1fb2c2 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 57
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Observation e97aca85-c0d4-4cbf-96ce-295f1586faaf · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 58
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Observation a9468daa-2bae-4af0-bff9-44f88b850de4 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 59
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Observation 6e8e2b12-9df1-4856-bf3c-3e3e5e20d356 · outbound
This paper cites Marquis and D.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Marquis and D
Reference 60
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T07:04:41.184984Z
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Observation fbb5352b-2cda-46d5-a588-e94e3752b893 · outbound
This paper cites Hwang, D.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Hwang, D
Reference 61
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- unresolved
- no resolver link, observed 2026-08-02T07:04:41.245150Z
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Unavailable: canonical work link unavailable.
Observation 015df878-34c9-4059-8d76-8d3b9eb716cc · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 62
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T07:04:41.336438Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4321e9a3-e2d2-4c91-81c3-4c17e1b21d93 · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 63
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T07:04:41.418441Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b396ad12-f08e-44e1-936f-bf8df3b892dc · outbound
This paper cites an unresolved cited work.
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials Unresolved cited work
Reference 64
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T07:04:41.493705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.