Film, member, transfer member, transfer device, fixing device, and image forming apparatus

Patent metadata

Field	Value
Publication number	US-2025068091-A1
Application number	US-202418798792-A
Country	US
Kind code	A1
Filing date	Aug 8, 2024
Priority date	Aug 22, 2023
Publication date	Feb 27, 2025
Grant date	—

Abstract

A film contains a resin, and particles of a siloxane compound having a structure represented by Formula: [RSiO 1.5 ] n (in the formula, R represents an organic group and n represents an integer of 2 or more), where at least one R in the formula is a group including an alkyl group, in which in a spatial distribution of the particles present in an evaluation region of 63 μm×42 μm, an integrated value of a statistical quantity L(r) represented by Equation (1) in an interparticle distance r of 0.05 μm or more and 5.00 μm or less is 0 or more and 1.6 or less.

L
⁡
(
r
)

:=

K
⁡
(
r
)

/
π

-
r

(
1
)

In Equation (1), r represents the interparticle distance, and K(r) represents a Ripley's K function K(r) represented by Equation (2).

K
⁡
(
r
)

:=

∑

i
≠
j

N

1
⁢

(

❘
"\[LeftBracketingBar]"

X
i

-

X
j

❘
"\[RightBracketingBar]"

≤
r

)

/

s
⁡
(

❘
"\[LeftBracketingBar]"

X
i

-

X
j

❘
"\[RightBracketingBar]"

)

λ
2

(
2
)

In Equation (2), 1(|X i −X j |≤r) represents an indicator function, X i and X j represent coordinates of points i and j respectively, |X i −X j | represents a Euclidean distance between the coordinates X i and X j , r represents the interparticle distance, s(|X i −X j |) represents an edge correction factor s(x) of an evaluation region represented by Equation (3), x equals |X i −X j |, N represents a total number of particles in the evaluation region, and λ represents a number density of particles in the evaluation region.

s
⁡
(
x
)

:=

L
x

⁢

L
y

-

x
π

⁢

(

2
⁢

L
x

+

2
⁢

L
y

-
x

)

(
3
)

In Equation (3), L x and L y represent lengths (μm) of sides of the evaluation region in an x-axis direction and a y-axis direction respectively, and x=|X i −X j | is satisfied, where the X i and the X j represent coordinates of points i and j respectively, and the |X i −X j | represents a Euclidean distance between the coordinates X i and X j .

First claim

What is claimed is:

1 . A film comprising:
a resin; and particles of a siloxane compound having a structure represented by Formula: [RSiO 1.5 ] n (in the formula, R represents an organic group and n represents an integer of 2 or more), where at least one R in the formula is a group including an alkyl group, wherein in a spatial distribution of the particles present in an evaluation region of 63 μm×42 μm, an integrated value of a statistical quantity L(r) represented by Equation (1) in an interparticle distance r of 0.05 μm or more and 5.00 μm or less is 0 or more and 1.6 or less,

L
⁡
(
r
)

:=

K
⁡
(
r
)

/
π

-
r

(
1
)

in Equation (1), r represents the interparticle distance, and K(r) represents a Ripley's K function K(r) represented by Equation (2),

K
⁡
(
r
)

:=

∑

i
≠
j

N

1
⁢

(

❘
"\[LeftBracketingBar]"

X
i

-

X
j

❘
"\[RightBracketingBar]"

≤
r

)

/

s
⁡
(

❘
"\[LeftBracketingBar]"

X
i

-

X
j

❘
"\[RightBracketingBar]"

)

λ
2

(
2
)

in Equation (2), 1(|X i −X j |≤r) represents an indicator function, X i and X j represent coordinates of points i and j respectively, |X i −X j | represents a Euclidean distance between the coordinates X i and X j , r represents the interparticle distance, s(|X i −X j |) represents an edge correction factor s(x) of an evaluation region represented by Equation (3), x equals |X i −X j |, N represents a total number of particles in the evaluation region, and λ represents a number density of particles in the evaluation region,

s
⁡
(
x
)

:=

L
x

⁢

L
y

-

x
π

⁢

(

2
⁢

L
x

+

2
⁢

L
y

-
x

)

(
3
)

in Equation (3), L x and L y represent lengths (μm) of sides of the evaluation region in an x-axis direction and a y-axis direction respectively, and x=|X i −X j | is satisfied, where the X i and the X j represent coordinates of points i and j respectively, and the |X i −X j | represents a Euclidean distance between the coordinates X i and X j .

2 . The film according to claim 1 ,
wherein an average particle diameter of the particles is 0.05 μm or more and 3.0 μm or less.

3 . The film according to claim 2 ,
wherein the average particle diameter of the

Assignees

• Fujifilm Business Innovation Corp

Inventors

• Omori Kenji
• Kubo Yosuke
• Ono Masato
• Nishimura Iori
• Tanemura Daisuke
• Seko Masayuki
• Kimura Jun

Classifications

• C08K5/5419

  containing at least one Si—C bond · CPC title

• C08J2369/00

  Characterised by the use of polycarbonates; Derivatives of polycarbonates · CPC title

• C08J2379/08

  Polyimides; Polyester-imides; Polyamide-imides; Polyamide acids or similar polyimide precursors · CPC title

• C08J5/18

  Manufacture of films or sheets · CPC title

• G03G15/162 Primary

  details of the the intermediate support, e.g. chemical composition · CPC title