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US 2026/0049417 A1Published application
Gallium nitride substrate
AssigneeMitsubishi Chemical Corporation
InventorsTakafumi ODANI, Akinori MIURA, Yuuki ENATSU, Kenta TATE, Tomoyuki TAKAKURA, Masayuki TASHIRO
Life of this patent
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Abstract
A gallium nitride substrate has a main surface inclined by 0° to 20° from a (0001) plane and having an area of 15 cm2 or more. The main surface has a dislocation density of 5×106 cm−2 or less, and a number density of local strains in a crossed Nicols image obtained by a sensitive color method for the main surface is 0.5 cm−2 or less.
Claims10
A gallium nitride substrate comprising:
- a main surface inclined by 0° to 200 from a (0001) plane and having an area of 15 cm2 or more,
- wherein the main surface has a dislocation density of 5×106 cm−2 or less, and
- a number density of local strains in a crossed Nicols image obtained by a sensitive color method for the main surface is 0.5 counts·cm−2 or less.
A gallium nitride substrate comprising:
- a main surface inclined by 0° to 20° from a (0001) plane and having an area of 15 cm2 or more,
- wherein the main surface has a dislocation density of 5×106 cm−2 or less, and
- at least one 2.5 cm×2.5 cm square lattice in which no local strain is observed is findable in a crossed Nicols image obtained by a sensitive color method for the main surface.
A gallium nitride substrate comprising any one of the following (A) to (C):
- (A) a main surface inclined by 0° to 20° from a (0001) plane and having an area of 15 cm2 or more,
- wherein a maximum value of a strain evaluation value in the main surface is 1×10−4 or less, the strain evaluation value being calculated by a photoelasticity measurement for the main surface based on the following formula (1):
- [
- Math
- .
- 1
- ]
- STRAIN
-
- EVALUATION
-
- VALUE
- :
- ❘
- "\[LeftBracketingBar]"
- S
- r
- -
- S
- t
- ❘
- "\[RightBracketingBar]"
- =
- [
- (
- S
- yy
- -
- S
- xx
- )
- 2
- +
- (
- 2
-
- S
- xy
- )
- 2
- ]
- 1
- 2
- (
- 1
- )
- wherein each term in the formula (1) is represented by the following formulae (2) and (3):
- [
- Math
- .
- 2
- ]
- ❘
- "\[LeftBracketingBar]"
- S
- yy
- -
- S
- xx
- ❘
- "\[RightBracketingBar]"
- =
- λ
-
- δ
- π
-
- dn
- 0
- 3
-
- ❘
- "\[LeftBracketingBar]"
- cos
-
- 2
-
- ϕ
- p
- 1
-
- 1
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- (
- 2
- )
- 2
-
- ❘
- "\[LeftBracketingBar]"
- S
- xy
- ❘
- "\[RightBracketingBar]"
- =
- ❘
- "\[LeftBracketingBar]"
- (
- S
- yy
- -
- S
- xx
- )
-
- tan
-
- 2
-
- ψ
- ❘
- "\[RightBracketingBar]"
- (
- 3
- )
- wherein δ and ψ represent a phase difference which is a birefringence amount derived from a strain and a principal axis azimuth angle, respectively, λ represents a light source wavelength of a photoelasticity measurement apparatus, d represents a sample thickness, n0 represents a strain-free refractive index with respect to the light source wavelength, |p11−p12| represents a photoelastic tensor component, and among these, λ, n0, and |p11−p12| satisfy the following conditions:
- λ
- =
- 633
-
- nm
- ;
-
- n
- 0
- =
- 2
- .
- 3
-
- 55
- ;
- and
-
- ❘
- "\[LeftBracketingBar]"
- p
- 11
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- =
- 0.
- 1
-
- 3
- ,
- (B) a main surface inclined by 0° to 200 from a (0001) plane and having an area of 15 cm2 or more,
- wherein an area (S1) in which a strain evaluation value is 6×10−5 or more is 0.10% or less of an area of the entire main surface, the strain evaluation value being calculated by a photoelasticity measurement for the main surface based on the following formula (1):
- [
- Math
- .
- 3
- ]
- STRAIN
-
- EVALUATION
-
- VALUE
- :
- ❘
- "\[LeftBracketingBar]"
- S
- r
- -
- S
- t
- ❘
- "\[RightBracketingBar]"
- =
- [
- (
- S
- yy
- -
- S
- xx
- )
- 2
- +
- (
- 2
-
- S
- xy
- )
- 2
- ]
- 1
- 2
- (
- 1
- )
- wherein each term in the formula (1) is represented by the following formulae (2) and (3):
- [
- Math
- .
- 4
- ]
- ❘
- "\[LeftBracketingBar]"
- S
- yy
- -
- S
- xx
- ❘
- "\[RightBracketingBar]"
- =
- λ
-
- δ
- π
-
- dn
- 0
- 3
-
- ❘
- "\[LeftBracketingBar]"
- cos
-
- 2
-
- ϕ
- p
- 1
-
- 1
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- (
- 2
- )
- 2
-
- ❘
- "\[LeftBracketingBar]"
- S
- xy
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- =
- ❘
- "\[LeftBracketingBar]"
- (
- S
- yy
- -
- S
- xx
- )
-
- tan
-
- 2
-
- ψ
- ❘
- "\[RightBracketingBar]"
- (
- 3
- )
- wherein δ and ψ represent a phase difference which is a birefringence amount derived from a strain and a principal axis azimuth angle, respectively, λ represents a light source wavelength of a photoelasticity measurement apparatus, d represents a sample thickness, n0 represents a strain-free refractive index with respect to the light source wavelength, |p11−p12| represents a photoelastic tensor component, and among these, λ, n0, and |p11−p12| satisfy the following conditions:
- λ
- =
- 633
-
- nm
- ;
-
- n
- 0
- =
- 2
- .
- 3
-
- 55
- ;
- and
-
- ❘
- "\[LeftBracketingBar]"
- p
- 1
-
- 1
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- =
- 0.13
- ,
- and
- (C) a main surface inclined by 0° to 20° from a (0001) plane and having an area of 15 cm2 or more,
- wherein a ratio (S1/S2) of an area (S1) in which a strain evaluation value is 6×10−5 or more to an area (S2) in which the strain evaluation value is 5×10−5 or more is 50% or less, the strain evaluation value being calculated by a photoelasticity measurement for the main surface based on the following formula (1):
- [
- Math
- .
- 5
- ]
- STRAIN
-
- EVALUATION
-
- VALUE
- :
- ❘
- "\[LeftBracketingBar]"
- S
- r
- -
- S
- t
- ❘
- "\[RightBracketingBar]"
- =
- [
- (
- S
- yy
- -
- S
- xx
- )
- 2
- +
- (
- 2
-
- S
- xy
- )
- 2
- ]
- 1
- 2
- (
- 1
- )
- wherein each term in the formula (1) is represented by the following formulae (2) and (3):
- [
- Math
- .
- 6
- ]
- ❘
- "\[LeftBracketingBar]"
- S
- yy
- -
- S
- xx
- ❘
- "\[RightBracketingBar]"
- =
- λ
-
- δ
- π
-
- dn
- 0
- 3
-
- ❘
- "\[LeftBracketingBar]"
- cos
-
- 2
-
- ϕ
- p
- 1
-
- 1
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- (
- 2
- )
- 2
-
- ❘
- "\[LeftBracketingBar]"
- S
- xy
- ❘
- "\[RightBracketingBar]"
- =
- ❘
- "\[LeftBracketingBar]"
- (
- S
- yy
- -
- S
- xx
- )
-
- tan
-
- 2
-
- ψ
- ❘
- "\[RightBracketingBar]"
- (
- 3
- )
- wherein δ and ψ represent a phase difference which is a birefringence amount derived from a strain and a principal axis azimuth angle, respectively, λ represents a light source wavelength of a photoelasticity measurement apparatus, d represents a sample thickness, no represents a strain-free refractive index with respect to the light source wavelength, |p11−p12| represents a photoelastic tensor component, and among these, λ, n0, and |p11−p12| satisfy the following conditions:
- λ
- =
- 633
-
- nm
- ;
-
- n
- 0
- =
- 2
- .
- 3
-
- 55
- ;
- and
-
- ❘
- "\[LeftBracketingBar]"
- p
- 1
-
- 1
- -
- p
- 1
-
- 2
- ❘
- "\[RightBracketingBar]"
- =
- 0.13
- .
467 more elements
Dependencies are inferred from the claim text.