鹿児島大学リポジトリ

STRUCTURAL FORMULAS AND POLYMORPHS OF BIOTITES

FROM THE SOUTHWESTERN OUTER ZONE-TYPE GRANITIC

ROCKS, JAPAN

著者

OBA Noboru, TOMITA Katsutoshi, YAMAMOTO

Masahiko, YAMASHITA Hiroyuki, OGURA Jun,

HARADA Tsutomu, MURATA Mamoru, NAKAMURA

Toshifumi, INOUE Kozo

journal or

publication title

鹿児島大学理学部紀要. 地学・生物学

volume

15

page range

1-39

別言語のタイトル

西南日本外帯型花崗岩類の黒雲母の構造式および多

形

URL

http://hdl.handle.net/10232/5931

STRUCTURAL FORMULAS AND POLYMORPHS OF BIOTITES

FROM THE SOUTHWESTERN OUTER ZONE-TYPE GRANITIC

ROCKS, JAPAN

著者

OBA Noboru, TOMITA Katsutoshi, YAMAMOTO

Masahiko, YAMASHITA Hiroyuki, OGURA Jun,

HARADA Tsutomu, MURATA Mamoru, NAKAMURA

Toshifumi, INOUE Kozo

journal or

publication title

鹿児島大学理学部紀要. 地学・生物学

volume

15

page range

1-39

別言語のタイトル

西南日本外帯型花崗岩類の黒雲母の構造式および多

形

URL

http://hdl.handle.net/10232/00001709

Rep. Fac. Sci., Kagoshima Univ. (Earth Sci., Biol.),

No. 15, p. 1-39, 1982.

STRUCTURAL FORMULAS AND POLYMORPHS OF

●→■■■-■-I

BIOTITES FROM THE SOUTHWESTERN OUTER

ZONE-TYPE GRANITIC ROCKS, JAPAN

-I

By

Noboru Obal, Katsutsohi Tomital, Masahiko Yamamotol, Hiroyuki

Yamashita2, Jun Ogura3, Tsutomu Harada4, Mamoru Murata5,

Toshifumi Nakamural and Kozo Inoue6

(Received July 1, 1982)

Abstract

Chemical analyses of丘fty six biotites from granitic rocks of the Southwestern

Outer Zone-type, those of which occur mainly within the Shimanto major be比m the

●

outer zone of Southwest Japan, and X-ray diffraction powder data of twenty three

biotites were examined to investigate the physicochemical natures such as structural

formulas and polymorphs of the biotites. As a result, most of the analyzed biotites

have the number of additional positive charge greater than 0.50 in the unit cell or

O.25 m the half-cell in the octahedral layers, and fall within the bivalent iron-dominant

biotite area of the Foster's triangular diagram Mg, R3+ and Fe2+. Meanwhile, 2M

polymorph was identified, by means of X-ray powder diffraction among polymorphs

expected in the analyzed biotites. Chemical analyses of丘fty six granitic rocks of the

analyzed biotites were also summarized.

Introduction

This study is a part of a series of research, regarding physicochemical nature of

● l ●

ma丘c minerals of granitic rocks, that which has been carried on since 1963. To

under-stand the physicochemical nature of biotites from granitic rocks of the Southwestern

●

Outer Zone-type (Shibata, 1962), those of which have been reported by the present

authors with respect to their petrochemical features, contamination-effects, geologic

●

environments and emplacement mechanism (Oba, 1962a, c, d, e, 1966, 1967, 1974, 1977,

Oba, and others, 1978), chemical analysis and X-ray powder di触action were made of

the biotites.

1 Institute of Earth Sciences, Faculty of Science, Kagoshima University, Kagoshima, 890

Japan.

Centennial Commemoration House of Meiji, Kagoshima Prefectural Government,

Kago-shima, 892 Japan.

3 Prefectural Chuo Senior High School, Kagoshima, 892 Japan.

Kurosaki Ceramic Co., Ltd., Kurosaki, Kita-Kyushu, Fukuoka, Japan.

5 Institute of Mineralogy, Petrology and Economic Geology, Faculty of Science, Tohoku

Univers辻y, Sendai, 980 Japan.

￠ Institute of Geology and Mineralogy, Faculty of Science, Hiroshima University,

Hiro-shima, 730 Japan.

N. Oba, K. Tomita, M. Yamamoto, H. Yamashita, J. Ogura

Major attention will be given in this paper to summarize chemical analyses of the

●

biotites from granitic rocks of the Southwestern Outer Zone-type and those of the

granitic rocks of the analyzed biotites, and to review structural formulas and

poly-morphs estimated from X-ray diffraction powder data of the biotites. Most of these

chemical and X-ray data are those which were used for writing tables and figures

presented by the authors at the Annual Meeting of the Geological Society oりapan in

1964, and at the lst, 7th and 9th Meetings of the IGCP Project No. 30, Circum-Pacific

●

Plutonism held in California, U.S.A., in 1972, in Japan and Korea in 1977, and in

Khabarovsk, U.S.S.R., in 1979, and at the 3rd Regional Conference on Geology and

●

Mineral Resources of Southweast Asia held in Bangakok, Thailand, in 1978 (Oba, 1964,

0ba and others, 1977, 1978, 1979). Chemical analyses of granitic rocks of the analyzed

biotites and chemical analysis and X-ray di批action powder datum of one hornblende

●

coexisting with biotite were also given in this paper.

●

Chemical Analyses of Biotites from Granitic Rocks of the

Southwestern Outer Sone-Type

Chemical analysis of ma丘c mineral such as biotite and hornblende from granitic

●

rocks of the Southwestern Outer Zone-type has scarecely been reported till 1963. In

1964, chemical analyses of ma丘c minerals and a relation in chemical composition

between ma丘c minerals and granitic rocks of the Southwestern Outer Zone-type of the

analyzed ma丘c minerals were reported by ()ba (1964) at丘rst at the Annual Meeting of

the Geological Society of Japan. Some of these chemical data were published out in

1966 as a product of a collaborative research (Shibata and others, 1966). However,

the whole of chemical data have not been published out. Since 1977, chemical

analyses of ma丘c minerals from granitic rocks of the outer zone of Southwest Japan

have become to be reported by Oba and other (1977), Yamamoto (1978) and others.

Fifty six chemical analyses of biotites from granitic rocks of the Southwestern

Outer Zone-type are tabulated in talbe 1. Analysis was made by a combined method

of Hstandard" and either of Hion exchange resin and chelate titration (Oki and others,

1962) or atomic absorption. Besides, electron microprobe analyses of eighteen biotites

and seven hornblendes from Omine acid rocks, Kii Peninsula, were reported by

Kawasaki (1980).

Structural Formulas of the Analyzed Biotites

Calculation of Structural Formulas of the Analyzed Biotites

Foster (1960) reported chemical structural formulas calculated on the basis of the

cationic and anionic valence contents of the idealzied unit cell, 44, for 204 trioctahedral

micas, and discussed chemical features, classification and geologic occurrence of

triocta-●

hedral micas.

Following to Foster's calculation system, structural formulas of the analyzed

Structural Formulas and Polymorphs of Biotites

6

0

*

6

6

-〇〇 N ト一m⊂)CO H U｢r-¥ C¥Jト-N ⊂)〇〇 ⊂⊃ ⊂)ト一二r ⊂⊃

.l_ーー

-ir-66

1︰

l

●l

fiZ'l

t78'｣

6m.ド

ten

Jt7*0

-S

O

'

O

O

T

I .1 =

m

O

'

T

O

I

-9

^

'

O

O

T

○ヽ＼､O r-¥ C¥J ⊂〉 Ln＼､D u⊃ ● ● ● ● LrヽCO ⊂)ト-rH

Z

9

"

i

7

1

m

0

.

才

8 才 t r ｣

莞西

*

N

M

≡

*

N

*

i

爪

¥

l

Z

O

m

o

g

佃

1

"

B

S

こ こ

2

9

'

S

I

寸

の

.

寸

9

｣

'

｣

｣

(

o

T

)

x ' x E

'

X

'

L

6

2

｣

l

J

0

8

n こ こ ト-＼エ) Oヽ＼〇才＼､.0 ⊂) Ln ⊂) ∼ :ォ蝣ォ!跳 SB誹 KSTOl題≡酬 Kサ ● ● ● ● ● ● ● ● ● ● ニr u ヽOヽ⊂) rl ⊂⊃ ⊂⊃co en rJ r-¥   r-i t-i OヽOヽ二r＼､○ (Nト-＼､0 0ヽCO I LT¥t-¥ 00OO LA CM r｣ニr m ⊂) ⊂)CO ⊂) ⊂)〇〇二r rl N トーen^r ⊂) tn二r〇〇.I I

9

9

.

才

z

o

'

｣

｣

当沌

#

T

#

X

≡

'

I

'

X

2

T

t

7

1

｣

O

B

蝣 & w e R o x 〓 V

T

ト

.

寸

T

N

ト

.

寸

Z

｣

'

¥

i

Z

(○

' H

' J

i

≡

*

H

"

1

o

T

卜

N

J

0

9

〓 こ こ N ド

Oヽin onoO r-1二a- in°) ⊂) ⊂)

● ● ● ● ● ● ● ● ● ● Lnこr (コ⊃ ⊂つくX⊃ ⊂) ⊂)〇〇二r rl r-1  rl

N

m

.

寸

o

m

.

J

M

Ol

'

A

'

X

q

'

X

'

X

J

0

ト

l

i

r

o

g

垂

Q

D

m

H

〓

6

1

*

1

0

1

2

2

'

O

I

t

r

'

T

O

T

m

m

.

0

才

M

.

O

I (

T

O

2

8

*

0

0

Z

'

｣

0

6

*

9

0

ト

.

〇

卜

爪

.

0

卜

寸

.

Ⅶ

ト

N

.

0

2

6

'

6

I

9

6

*

^

寸

〇

.

〇

N

O

寸

.

∼

9

i

7

-｣

｣

* こ こ ≡

N

O

J

2

8

0

6

m

〓 こ こ

T

｣

'

O

O

T

m

N

.

0

9

m

'

0

0

1

卜CO寸(フヽN u⊃ ⊂)CO ⊂) ⊂) ○ヽ⊂) LLヽN＼､D Oヽu⊃トーOヽ＼亡) ト寸CO u⊃二才ト-⊂) ⊂3 in H m ooLn u■＼トー⊂)〇〇 ⊂) ⊂)u〇二r rl ⊂) ⊂)

m rl rl

I

Z

'

O

O

I

O

S

'

0

1

6

*

o

o

l

O

S

'

0

9

｣

*

O

T

O

.

〇

2

9

*

0

｣

Z

'

｣

m

M

.

ド

O

O

'

I

m

6

+

0

m

6

+

6

2

6

-6

6

Z

T

'

O

J

l

*

0

0

1

トト一〇⊃ ト-u⊃ Cへ OO CM lf¥○ヽm rl ● ● ● ● ● ● Ln r｣ト一二r ト⊂⊃ 00  H rH ＼エ) ⊂) rlニr ⊂) mニr＼O Ln⊂)u⊃トーN rl CX⊃ Oヽこr mu⊃ Lrlu⊃COト一m⊂) m＼O rl.I rl

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● こt on on トーLf¥⊂)CO ⊂⊃ ⊂)＼､.D＼､.O rl ⊂) ⊂〉 ⊂)

M rJ rl

t

/

f

r

'

O

O

T

6

1

*

0

｣

9

*

0

0

1

｣

T

"

0

爪

ト

*

O

O

I

N

N

.

0

2

,

6

'

O

O

T

CO卜-＼.O ∼ N ⊂) ⊂) mu⊃ rH CO Ln(X⊃ N ⊂) Oヽト一〇ヽ○ヽLn⊂) ∩ ● ● ● ● ● ● ● ● ● ● ● LLヽCO ⊂⊃ ○ヽ⊂) ⊂)＼.O m⊂) ⊂) ⊂) ｢｣ * こ こ ≡

a

x

-｣

B

t

i

n

o

u

x

q

o

n

Yd

〓 こ こ ≡

爪

-p

m

室 ニ ー1 こ こ 〓 ≡

｣

O

t

7

0

8

0

6

m

d

A

d

月

O

B

P

8

H

こ こ

T

m

.

卜

T

O

の

.

I

9

N

.

寸

m

こ こ 〓 ≡

卜

i

-a

z

こ こ 〓 Nトー⊂) rH a⊃u⊃＼.0 ⊂) ⊂) ⊂D Lf¥fY｢亡･-⊂) onoo＼D LA m LT＼⊂D ¥JT¥｢1才○ヽ⊂)寸 rl ● ● ● ● ● ● ● ● ● ● ● ● ● ■ m m⊂)ニr ⊂)CO ド-1 ⊂) Ln E･-rl ⊂) ⊂) ⊂)

Z

T

'

｣

簡花

O ' N m t-i r-i rl "B

'

O

'

N

Z

O

J

Q

Q

O

6

m

o

a

n

S

w

e

w

(

I

O

9

H

so

l t J ｣ ! 完 や

p

a

a

s

n

f

p

v

T

O

'

｣

=

O

I

*

*

!

関

屋

TD

& 爪 o N a

-0

2

H

+

O

N

H

O

N

肖

0

2

-B

N

O

T

2

0

0

3

w

O

u

W

O

a

d

の 0 2 9 d

n

0

2

T

V

2

O

T

T

,

;

O

T

S

j ^ y

.

T

T

O

U

S

p

O

t

n

s

w

T B U ･ s o n

s

9

<

ア

｣

p

t

Z

O

.

O

O

r

I

S

ぷ

0

0

t

I

S

9

T

D

O

q

ぷ

U

O

出

o

d

A

ヤ

a

u

o

z

J

9

i

j

.

n

o

u

j

a

^

s

a

A

v

q

^

n

o

g

o

q

q

.

j

o

s

s

p

o

肖

o

p

i

i

r

e

j

f

)

u

i

o

j

j

s

a

^

o

i

g

j

o

s

a

s

A

r

e

u

y

r

e

o

i

u

i

o

v

f

o

 

*

¥

o

i

q

^

x

4

N. Oba, K. Tomita, M. Yamamoto, H. Yamashita, J. Ogura

Z

｣

'

9

t

閲E

"

S

'

X

≡

#

S

#

A

T U T B L J E

出0

mo

mo

卜の

19

mN

16

m⊂) ⊂)

_{Oヽ (エ) ＼､⊂)} l

Eo

t i e

9N

0 0 帆 ト I O 6 0

81

0

mT

m

h

i

*

m

N

I

6

'

I

T

m

.

N

T

の

0

.

才

O t

7

* m

E

E こ こ ≡

｣

-a

a

こ こ 〓

8

N

.

寸

M

-1 --〓 ≡

Z

-Q

D

--ニ ー-＼○ ＼0 ＼工) ○ヽ ○ヽこr

寸T

∼ ＼.0 ＼エ) m

m寸CO

Nm

⊂)卜rl ⊂)

l

N

m

.

6

6

-T

m

.

6

6

d a

2

9

*

0

8

0

'

｣

〇

〇

.

ド

寸寸

の0

0m

Nm

の∞

NN

m

t ? 9

rl二r Ein O M ド 0 0 ∞ ○

○

卜

.

ド

ト

寸

.

〇

T

N

.

m

N

T

ト

.

I

6

9

'

Z

T

i

7

8

"

S

f

l

Z

'

f

i

l

(I

' V

J i

≡

" V

' J

I

T

-a

s

9

-e

q

n

s

n

出

Q

O

9

H

--こ こ 〓

--2

-2

0

1

2

〓

Xq

m 垂 ●■■       ●■ ●一      ●■ む d Xi =    E a h H ffi s c  = C) d J⊃ ∽   =  コ m M bd

00

_N ⊂) mニr rl ⊂) u⊃ =   ー L T. I

J

z

'

6

6

｢_L ｢   =  L

N

O

.

〇

I

T

m

.

6

6

-ォ i a

∞

寸

.

O

t i

2 '

｣

＼蝣O LALjncomma〇rl ○○＼D O rlト-CO CO ∼ ∝)こr O〇〇ロヽm二rO〇＼8ロヽOヽN〇mN ⊂) N ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● l inrHinr＼rH〇〇〇⊂)⊂)トーrl⊂)〇〇〇 一 〇 oo rH C¥J       ⊂〉 rl ー｣      ＼8⊂〉Lr＼〇〇C¥J OOrH CM○○N＼凸NO〇〇〇 m m ⊂d c^inト-Lnoo cm二r＼J OヽN ∼ N⊂)Lnm ト- m rll =  =  =  =  ' ･ ･ ' ' ' ' ' ' I ' ' ' ' ' ' ' N       ＼8｢-¥inLr＼N⊂⊃卜〇〇〇〇rl ○○⊂)⊂) ｢｣ ⊂) po rH (M      ⊂) rl 王訂 ⊂) H LH⊂)rJ Oヽ○ヽCM Lf¥Ln⊂) uヽN卜r＼rlニr ⊂) Ln N      卜二rニr enc¥j-=r r-¥ 〇二d-OO LAC¥J rl＼Dlq H M o r e rH acncna⊃＼凸⊂)トーrl ⊂)＼､D＼O N○○⊂D ォH ⊂〉 oヽ      m rl rl      ⊂) Lf¥       rH ⊂)トN寸Lnuヽ⊂〉○ヽ○○q⊃＼8rl二r⊂3 rH rH LPvCM H POOO CM⊂)N＼O Nト一二r⊂)こr rJ ∼ ∼ c c s トrl＼8＼0○○ トr･1⊂)卜rl⊂)○○O r1 0 m rl N       ⊂) rl Si ⊂)

u) .   ｡   〇〇二r rM Lf¥CM m○○⊂〉rlト-rlu⊃m m rJ

N O O ′-ヽ LLluつり⊃ニr卜Ln⊂)rlニrこr＼♪二r c¥jlt¥en こr M cm     ctf    a〇             rH S Z  -' cn^t oj〇､､8⊂)卜｢｣⊂)ト一二r rl〇〇〇 rl ⊂) N m ド-i iH rH      ⊂) vr>       '--* ーー こ こ ≡

9

O

I

I

t

7

O

8

s

u

i

t

f

e

w

ll 〓

B

I

B

S

C

D

の

H

SO

S

ぷ

0

0

t

i

S

8

T

P

O

q

ぷ

0

0

t

I

(

p

9

'

n

u

x

q

.

u

O

｡

)

こr ∼ Lr＼⊂) ○ヽこr cm c¥j irヽ寸二r N⊂)ロヽN ∼ rY｢N O〇 rl u〇 uヽ

● ● ● ● ● ● ● ● ● ● ● Lr＼二d- on oj ⊂) ⊂)くつヽ⊂) ⊂) ト二r m rJ ∼ 温 U f f i

寸 i

7 *

t 7

E

閏E

'

K

'

l

q f t r . 1

m

o

n

o

m

o

9

トT

O寸

91

9m

伯の

寸寸

心T

0 0 め 0

0N

N

91

0

^

0

o

u

w

O

U

W

完

g

R

I

J

o

Z

3

｣

e

O

s

I

V

: o

t j

;

s

O

T

S

J 3 H

.

T

T

O

U

的

p

O

m

ゥ

W

'

T

-e

u

M

s o m

s

a

d

^

q

.

J

O

.

O

O

r

T

I

Z

6

*

8

6

●1 1

-9

m

.

0

H O CO

Ln Oヽニr ●   ●   ● 届≡ EK* ＼.〔) ●● ● ⊂) ⊂) 宅訂 ⊂) .可■ ● l･｣ ⊂) !=F Ln 届≡ ● ⊂) ⊂) rl ⊂) ⊂〉 ● rl ⊂〉 rl N r｣ ● rl ⊂) ｢･1 Hl .= =

-〇

〇

.

O

O

H

l ▲ ■ l I ○  + I ォ ∼ O O O O crt (M N N <M rt

2W M出PM fo O

Tdq〇一

p

a

p

s

n

f

p

v

T

O

C

｣

=

o

T

^

O

T

,

Structural Formulas and Polymorph岳of Biotites

I

6

6

'

6

6

卜L .tトー rH      ⊂) ⊂)〇〇＼O Nトー⊂)ニr ⊂〉 ⊂) ∼ q⊃ ∼ ∼ tH    トl - Oヽ⊂)･∃r ltnco c¥J＼エ)N mN Oヽ＼､○⊂)

巨1    s:    Cへ       一 E.1 ≡:   ≡: - L∫ヽohlpvonoo⊂) Cへrl⊂)ト一m⊂)⊂) M rl rt Eiy ⊂〉

H C¥JV<⊃0ヽMOヽ〇〇才〇二rCO⊂)LLヽ l f ⊂〉 l

寸寸ト-POC¥J rHト一m m⊂) m N⊂)     の

< c

w       ⊃寸○ヽ⊂〉CO ⊂) ⊂)ト寸⊂) ⊂)    (フ＼

<       00  rH rl Cへ 〔｣ rl ⊂)

H      こr･=r⊂)ト一寸CO OヽN O⊂)⊂)⊂D LA I I M I ト1   0    0〇二丁⊂) rJ MくNO〇二T C¥JOO rH C¥J ⊂)    卜 <    5     * 出 ffi    55    こr Nト-tH Cへ⊂)卜⊂〉rl⊂〉二r ⊂⊃ ○     ○ヽ <      m rJ rl rl Cへ E｣

9

6

#

6

6

｣

｣

'

0

m

Z

'

0

0

1

S

U

E

m

m

.

0

｣

o

'

0

9

S

'

T

N

卜

.

i

I

O

t

7

*

6

6

-6

0

*

o

0ヽ＼工) LLヽ ｢-i coin⊂) m COニr Oヽco on lpvこr Ln ● ● ● ● ● ● ● ● ＼､【) ○ヽN ⊂)卜⊂) ⊂)u⊃ rl rl ■■■     ●■ ●-     I■ ●l■      ●■ 二二=      [二= -      ●一 -      ●-ーー

a

r

c

6

2

'

Z

t

簡凸

'

O

'

N

こ

*

0

"

N

M

o

T

T

f

o

ぷ

-UTUC

f )

の

di

∼ ChOO CM ITs rl Ln⊂) l∫ヽoo m OO rHニrの トーCへMト-rH C¥JヽO ● ● ● ● ● ● ● ● ● ● ● Nこr mN ⊂) Ln⊂) ⊂)ト一二r rl rl ∼

5Mォ胤

こ こ 〓 -I

m

I

の

ぷ

0

〓 ニ ーー 正司正司t=>m*m*=>mm^mi ≡訂閲M甘正司sin H m uヽトー トくつヽ c¥j oo-=r enトー＼エ) ＼J⊃ ⊂)    ＼､〔) の r: c e s      ■ ぷ      Lf¥ OHCM LT¥Oヽ ⊂) CO ⊂) ⊂)＼〇二r rl ⊂)    ⊂) ⊂)       vn r-i t-i ■-      ●■ -      ●-ー1 =   L I

Z

f

i

'

6

6

㍗ .  . l CM COOC⊃＼一D rl ⊂) rl ⊂) O ⊂) Nト-∼ ⊂) Lr＼＼.O uヽen en en ic¥ c¥i iniJヽ m ⊂)

● ● ● ● ● ● ● ● ● ● ● ● ■

inoncm ir¥○ヽ⊂)0⊃ ⊂) O ト寸 N ⊂)

m rl l･｣

u⊃＼.〇〇〇CO CO Cへ＼.O m⊂)⊂)＼J⊃CM r-¥ I I 卜 I Oヽu⊃ OヽくつヽN N＼こ) ⊂⊃ Ln⊂⊃こr M⊂)     ⊂) こ こ = ≡

M

I

s

ぷ

O

E E 〓 w c c s c ニr MN二r Oヽ⊂)トーrH oa〇二r N ⊂)     ⊂)

M rl rl

-      ●■ ■■     ●■ I I

m

寸

.

6

6

I ○ヽ＼､OのLn二r＼.D O ⊂)＼0 m.寸･ I cm en二d" OOCM CM PO OJ 卜Ln⊂)

.a ⊂) ⊂) トrl ⊂〉 トニr rl ⊂> l

-m

n

.

6

6

L 目し [ 〓_h

J

O

*

0

9

9

'

｣

9

6

'

m

M

簡凸

" O

' J

i

≡

" O

' J

i

T

I

の

ぷ

0

"

B

M

B

3

-t

u

s

t

i

j

の

垂 --＼エ)二r＼〇二r ⊂) rl ⊂)ニr mooニr rH Oヽco oo m⊂D rH LTvrl mOヽ ● ● ● ● ● ● ● ● ● ● ● onLnoo oo ⊂)＼J⊃ ⊂) ⊂〉卜LLl⊂) rJ rl

z

S

'

z

Z

--*

x

'

x

≡

"

X

'

X

M

I

の

こ こ 〓 ド . L I

6

6

*

6

6

-l

Ⅶ

0

.

0

8

9

'

T

N

T

.

爪

1

8

*

9

m

N

.

T

｣

8

*

0

9

Z

'

L

O

N

.

0

5

T

#

T

2

｣

L

'

｣

O

I

'

E

I

I

'

f

c

Z

6

*

t

7

b

E

*

o

#

v

-I

*

0

'

V

Ⅶ -I --I 1

2

9

*

6

6

I ∪

I

O

#

0

0 0 0 0 rl (コヽ＼J⊃ Ln＼､D ○ヽトーNト-rl u⊃ rl N＼､⊂)

rl ⊂) トrl ⊂)ト一寸⊂)

ぐn

TO

トT

∼

mT

寸

9

0

*

9

｣

簡繋

S ' X le

"

W

'

W

m

U

T

T

3

M

Q

O

9

H

I t * ! 完 p

p

e

a

s

n

f

p

v

TO'｣=0

n s a o L

TU

&

o

z

d

蝣 O S H

+

0

2

H

0

2

M

O

^

N

O

^

0

0

切

w

O

U

M

O

a

E

の o Z 2 & の 0 2 I V

:

O

T

.

L

:

O

T

S

*

J

9

H

T T O Q

s

p

o

u

a

O

M

T B U V

'

s

o

w

s

a

d

^

a

ォ i o   o o q

S

月

o

o

h

XO

のaxpoq

月

o

o

h

(

p

a

n

u

i

:

q

.

U

O

O

)

N. Oba, K. Tomita, M. Yamamoto, H. Yamashita, T. Ogura

卜h

Z

O

'

O

O

T

co Nト-moo c¥j enOヽ寸⊂)二r Oヽ｢｣ I I こr inoO oo 00 in°)＼O Nu⊃ LEヽ､卜⊂)

● ● ● ● ● ● ● ● ● ● ● ● ● .7 N ⊂)二r Oヽ⊂) m⊂) ⊂)ト一二r ⊂) ⊂) en c¥j r-i

m

ト

.

6

6

ド_L ＼エ)寸＼D CO ⊂)ニr ^r a⊃＼O r-1 (:X⊃ mくX) uヽ寸 mニr ⊂) ○ヽ⊂) ○ヽ⊂) m⊂) ⊂⊃ 卜Ln⊂) ⊂) =｣

9

Z

"

6

6

I 日   =

｣

0

*

0

(〇

〓 ≡ # X # H   蛸 O T

6

0

X

J

l

〓 ニ ーl

岩

弼

L

網

矧

0

9

'

I

8

9

-e

s

* O T ≡ x l A l   蛸 O T

B

O

M

こ こ II ＼エ)-=r oj Oヽ＼.〇二r O〇 卜CO ⊂5CO CM Oヽ＼エ) N ト-トー0〇 N＼一つ N ⊂)卜Ln ● ● ● ● ● ● ● ● ● ● ● ● m rl ⊂)u⊃0⊃ ⊂) M⊂) ⊂)ト一二r rl m ∼ rl

発泡

〓 ニ ーー

ト

o

x

L

〓 ニ ー-I

爪

9

*

6

6

1

才

〇

.

0

9

E

-T

N

T

.

爪

2

0

"

L

の

N

.

〇

9

｣

'

0

8

｣

*

｣

O

^

'

O

Z

6

'

o

z

o

T

'

爪

9

S

'

6

I

I

O

'

2

0

8

'

｣

｣

≡

'

A

'

W

≡

'

X

'

U

9

0

M

ニ ー-∃ ト ⊂) H Vf⊃⊂)0ヽoninc¥j卜〇〇二rくMOO C¥J二r I l ⊂) I LrlOヽu⊃ LA rH CX⊃二rニr encm -=r i∫ヽ⊂)     N < t s c s t<      寸rl1 0ヽml｣ ⊂)寸⊂) ⊂)卜･ヨー⊂) ⊂)    Cへ くく      cO r-H OJ Oヽ El ＼○ ⊂) r･1       才＼〇〇〇Oヽ卜N N＼エ)⊂〉＼心のN Ln i I  ヽ I mOヽのCX) ⊂)＼､o on トニr m Oヽ二r O      ⊂) <d c s c c k;       ニr rl⊂) ∼ N ⊂) Mrl ⊂)＼.〇二r ⊂⊃ ⊂)    ⊂) くく      M ∼ ∼ O EJ rJ Ln ⊂) I-l       二r(〕Oのこr⊂)mC)ト-Ln⊂)ニr.J 卜I l 二J I トt    ⊂)   〇〇 ⊂) ＼jo ¥r¥ cnco ＼､o ir¥-=r ltvoo ＼0 ⊂)    ○ヽ

<    r     * ヒ< ;コ    之    ○ヽC¥JCO rH⊂〉〇二r⊂)⊂)u⊃二r〇〇    〇 <C on rH c¥j       ⊂) El r｣

2

1

'

T

O

T

o

m

.

0

2

9

*

1

0

1

O

I

'

O

m

T

'

T

2

0

*

0

tf I*サE I M m tnニr トーCO I I

I

6

'

6

6

.1日=J ｢ 〓 J

m

O

.

o

Z

6

'

0

9

E

4

m

●■      ●■■ しこ=      ｢=: ●■      ●■ ●■     ●-●-       ●■■ 二二=      ここ=

6

9

*

2

Z

9

-1

L

9

'

6

E

O

'

E

I

O

｣

*

6

T

9

5

-1

0

卜

.

N

M

簡凸

'

O

'

N

Il

*

0

'

N

T

0

2

0

8

0

6

S

o

i

C

f

I

d

的

t

u

b

∽

DV

〓 ＼.O u⊃ 0⊃ ヽD (X) OO LTvVTつの Oヽト一二r 卜＼､〇二r寸 N ⊂) ● ● ● ● ● ● ● ● ●

r-i Oヽこr Oヽ ⊂) l∫ヽ⊂) ⊂〉トー

N

卜

.

m

ニ ー-〓 ≡

n

O

X

L

-I ニ ー1 on h H ⊂)Nの.7(＼l ∼ Oニr CO〔)Nニrの1 1 -3一 二才-co enの 卜く:0 Nト一二r ⊂} r-i CM ⊂)     CO

I rl a d こr a ｣ ⊂〉 E a O W c c  こ m rl Oヽ寸 ⊂) ⊂) Ln⊂) ⊂) トLn⊂〉 ⊂)     0ヽ Sfl I

N

ト

.

6

6

︰ ー

I

0

1

*

O

N

卜

.

O

u

卜

.

m

SB n   胆 STCEii阿弧!=訂 ti lalal* LnO⊃ ○ヽ r-i ITヽ.=T rl ＼､.0才＼､0

ド 0 0 6 寸 N＼J⊃ニr CO ⊂〉 m rJ rl fn d ti C〉 +)

(〇

x -M B

*

X

'

W

T

O

M

T

f

0

月

-U

T

U

S

T

B

i

o

q

.

p

a

a

s

n

f

p

v

T

O

C

｣

=

O

T

d

q

O

L

TD

&

n

o

N

d

-0

2

H

+

0

2

H

o

N

x

0

2

B

N

I

O

^

0

0

9

w

O

u

W

O

a

d

の O S 9 J

e

O

s

I

V

: O

T ,

I

:

O

T

S

J 9 H

.

T

T

O

U

の

p

O

m

a

w

T -B U V

.

S

O

N

s

a

d

i

C

c

L

a o   o o q

漸BEE聖

のexpoq

ぷ

O

O

M

(

p

a

m

r

p

^

u

o

o

)

6

7

'

(

S

L

6

1

)

i

H

D

n

v

H

V

A

(

O

l

)

'

(

S

L

6

1

)

o

x

o

h

v

h

v

a

(

6

)

'

(

9

9

6

1

)

s

j

a

q

^

o

p

i

r

e

v

x

v

巴

H

S

(

8

)

'

(

L

L

6

1

)

s

j

a

q

^

o

p

i

r

e

V

9

Q

(

L

)

'

(

S

L

6

1

)

v

出

m

A

r

r

a

v

K

(

9

)

!

(

9

Z

6

1

)

v

x

v

由

n

n

(

S

)

'

(

8

｣

6

1

)

v

a

的

X

t

(

寸

)

'

.

(

S

L

6

1

)

i

h

s

v

a

v

h

(

8

)

'

(

O

L

6

1

)

vcv肖VH(Z)'(｣ト61)ihov白V(I)︰saouaj9j9粥 monovwvA*H'- 'V2L#H⋮monvHVA*A:*A'A'oiowvwva *H- 'A*崇'VXIHSV買VA

H

A

出

︰

V

X

I

H

S

H

x

n

s

'

A

I

'

S

'

J

L

︰

v

x

v

a

m

s

*

H

-'

S

'

H

'

v

a

o

*

X

*

O

*

X

︰

v

a

o

*

N

:

'

O

*

N

'

v

x

n

o

o

"

I

:

'

O

f

'

v

z

n

q

*

V

:

'

O

v

'

v

h

a

m

v

s

v

^

｣

︰

j

s

t

x

⋮

V

L

V

出

&

W

'

W

︰

1

1

⋮

V

H

V

A

V

X

V

X

'

3

1

︰

"

H

'

S

L

'

v

a

a

n

i

a

:

T

A

-v

a

v

由

V

H

¥

L

-*

V

H

*

X

'

i

h

s

v

a

v

h

'

X

"

H

X

'

i

h

s

o

x

i

肖

O

H

'

出

︰

.

H

.

也

･ 'vhvhihsvoih'H:'H"H︰iHDvay*x- *V'X:sjorpajpopire sq-S^uy-q^xougxotsb的︰XEf⋮qq-ijouaxo竃lad︰Xd︰Ai&qdxod8q.iire.if)

︰cjf)'9iiwej20¥dy:f)y'oyiwejB9^0叫a:oa-^ヨaurep'B'--aij-iJO叫potrejJB93.叫}oiq QpuajqujOH-QOaH︰S5TOO肖 unzrqsy:y'.vmit'eiAn

︰n'蝣ejiqo:舛0⋮'BUITfn^'Bj^︰X'BUi'BA'Bran^'B月^X-X︰-BTweA^Q:}io Jtresiqtqs:S︰xuinso︰SO︰S8Tpoq3TOO肖- suoiq-霊AQjqqy

A

V

9

J

&

*

'

v

q

o

h

i

h

q

-j

s

j

A

q

p

a

s

X

r

e

i

r

e

g

j

q

a

v

t

q

p

u

-e

^

-u

o

x

^

d

j

o

s

q

鵡

3

叫

I

H

O

嵩

A

q

s

a

p

叫

x

o

j

a

q

も

p

i

r

e

t

r

e

s

v

I

9

p

9

J

9

A

V

Q

9

&

P

U

<

B

O

飼

a

-s

o

i

x

-胡

o

田

H

'

S

O

!

S

'

q

'

v

-W

だ

3

-1

3

.

9

^

9

j

q

o

p

i

r

e

u

i

s

a

j

9

J

ァ

i

r

e

i

p

x

a

u

o

叫

9

V

Q

A

q

s

9

D

T

X

O

-D

T

D

A

q

Q

O

r

f

'

A

T

T

'

B

O

T

J

^

i

n

T

J

O

T

O

O

崎 o 飼 d

p

i

r

e

S

Q

T

X

'

A

w

e

o

i

x

¥

.

9

m

i

A

t

e

j

3

pau叫UIJG^Qp9I9A¥胡o刑H Pra例OTS"e

Structural Formulas and Polymorphs of Biotites

Coco oヽト一二r rl J 亡一〇〇二r＼､o^r 1 1 cm 二3- r-¥ト-.7 ⊂) mm二T r-i rl＼､｣> eni-h     寸 ● ● ● ● ● ● ● ● ● ● ● ● ● ● u ＼mニr＼､D N ⊂⊃ in oj rlニr m⊂⊃ ⊂)     Oヽ サs

-卜

｣

"

0

0

1

1 1

6

6

*

0

0

1

I 1

S

S

"

6

6

auop

lOウH-p

o

q

^

Q

己

9

t

i

r

e

s

a

q

:

j

.

A

q

jatfto pire uox^jq.叫1

︰

s

p

o

m

a

u

i

r

e

o

i

も

l

d

d

V

r J                                                                             ｢ = = M rJ ∼ ＼D＼エ)○○ rll＼00⊃ ⊂⊃CO ⊂)＼エ)ニr N N ⊂)ト- ト二T CO rl 卜r-¥ I∫＼N ∼ rV)r-¥ ● ● ● ● ● ● ● ● ● ● ● ● ■ 卜on<y｢⊂) rl ⊂) ⊂) ⊂) ⊂)〇〇 m⊂) ⊂⊃ en h cm rt ＼エ)卜〇〇二才＼､ェ〕 r｣＼工) ⊂) ⊂) ⊂⊃ N ト ト一二r rYl ト｢4 H H OO二T CM LTNCM ● ● ● ● ● ● ● ● ● ● ● ● en<h ⊂) ○ヽ⊂⊃ rH r-1 ⊂)＼｣〇二r ⊂⊃ ⊂) H H rH smsm跳5KK Lf¥.H ぐれ(⊃ヽ ⊂)

01

TO

om

寸∞

Ⅶ∞

t i e

LT¥CO O〇 ⊂)U⊃ ⊂) ⊂)トーin⊂) ⊂⊃

≡ S ' H 〓 ≡

X

T

J

C

n

Z

T

L

[

S

V

T

t

i

n

z

x

q

s

v

〓 V 〓 こ こ ≡

m

d

U

I

T

f

B

M

f

l

O

月

0

3

9

U

I

B

N

こ こ N m I t ? *

'

H

'

H

≡

#

I

'

H

T

d

E

T

f

B

M

f

l

T

U

T

2

P

-x

u

s

n

ぷ

?

A

a

o

a

H

n

9 1 蝣 ｣

N

m

.

N

薦酌

"

X

"

也

≡

'

3

T

出

N en r-¥  h

⊂)Co Tlニr ur＼coinin⊂)⊂)＼､〇二丁  I ¥ ¥1⊃ J

ニT CM OOC¥JCO C¥Jト-Nニr Ln r｣＼O h     ⊂) こ  こ  こ  こ      -p ニd- on＼○ ∝)二r ⊂) ＼､○ ⊂⊃ ⊂⊃トーu⊃ rll       ⊂) m rl r｣       ⊂) rl Nこrld rl N⊂)トロヽ〇〇二才･∝  I I m I J mトー⊂⊃ 01二丁ト-en¥s¥c¥j h ur¥ u     ニJ r e e       ｣J       . ニr m＼エ) COこr ⊂)＼､D ⊂) ⊂)卜＼､エ) rl       ⊂) CO rH r｣      ⊂) rl co＼0mこrニ3-C¥J dLTv○○＼○○  I I rH I トこr＼ロトーrH C¥JCOニrニrニr Oヽ⊂) h     ⊂) ニ  s e c      -P こr mu⊃＼エ)亡-⊂⊃＼ェ) ⊂⊃ ⊂)ト一二r rl       ⊂) On rH r-¥       O rJ N⊂)ド-mOヽ二T CO CM○○Nへ  I I Cヽ l トニr Oヽ〇〇CO N トニr寸mLn∝) ら N こ  ｣  =: ｣       -P 寸 mu⊃ L∫ヽト-⊂)＼.0 ⊂) ⊂)COこr ⊂)       ⊂) M rl r｣       ⊂) H

∞

寸

.

〇

〇

T

I

O

*

0

酬

M

E

寸

8

'

i

7

0

9

*

9

T

O

'

O

｢｣

9

2

*

0

0

1

I I j a

mm

⊂) ⊂)ド-＼エ)ト一〇ヽ こr Ln Cn Oヽ l∫＼CO onoo on卜⊂⊃ ＼､C) ⊂) rl rl ⊂d on c¥j oo ⊂) ⊂) ⊂) N ト-ona〕こr m⊂} Hニr ⊂)＼､○ ⊂) ⊂)ド.=T ド-I

z

｣

'

6

6

■1

1

0

*

0

8

6

*

1

O

S

'

S

09

KMsi ifc i Oヽ ⊂)こr

∞∞

⊂) N rl ⊂)ド

II

トの

爪寸

Lx

m

mT

m lO ∽ =   ∽ 王訂 (6 ｣J d =  bO cd E; d is (6 =  X (6 :弓 d て‡ H =  く6 0 C O

2

9

'

｣

｣

こ こ こ こ

N A

o

q

u

v

r _  ∴ ニ

ー-8

9

'

卜

m

薗沌

"

V

H

'

J

i

-I

'

V

H

'

J

i

T A i 円 空 i i ]

-O

u

B

^

T

W

f )

の

A

S

O

'

f

i

T

u

卜

.

也

Z

Z

'

Q

Z

O

N

.

∼

8

9

'

｣

｣

* O T ^

*

A

'

H

O

T

X

J

i

I

O

h

,

e

I

d

切

n

j

i

s

s

ov

sasiCre白d

p

a

u

x

u

i

J

Q

^

Q

I

J

/

B

U

I

O

J

U

n

-K

T

d

q

O

q

paqのnfpv

T

O

f

i

!

l

=

O

T

^

O

T

,

. [ U

JL 爪 o N d

-0

2

H

+

0

2

H

0

2

H

O 蝣 7 2 N

O

d

U

o

S

w

O

u

W

O

a

h

m

0

2

9

J

M

O

*

T

V

: O

I ,

L

;

O

T

S

J 9 H

.

T

T

O

U

S

p

O

m

ゥ

w

T -e u v s o w

s

o

d

^

q

.

JO.OOrI

S

ぷ

o

o

y

s

a

x

p

o

q

月

0

0

t

I

(

p

a

n

u

x

q

-u

o

o

)

N. Oba, K. Tomita, M. Yamamoto, H. Yamashita, J. Ogura

biotites were calculated to the idealized formula of trioctahedral mica, X2Y6Z802｡ (OH)4

in the unit cell. Data used for writing the structural formulas are shown in table 2.

The structural formulas expressed in a half-cell of the analyzed biotites are given m

●

table 3. As tables 2 and 3 show, the electric charge between the cationic valence

content and the anionic valence content is considerably well balanced, except for some

biotites.

Location of the Analyzed Biotites on the Foster's Triangular Dia皇ram

M畠, R8+ and Fe2+

Plotting the analyzed biotites on the Foster's triangular diagram (fig. 1) showing

the relative quantitative relation between Mg, R3+ (AIVI, Fe3+ and Ti) and Fe2+ (Mn2+)

in octahedral layers, on that which the points representing the so-called biotites fall

between 20-60% for Mg in the occupied octahedral positions and the points representing

Fe2+-dommant biotites occupy the lower half of the biotite area lower than 40% for Mg,

most of the analyzed biotites fall within the bivalent iron-dominant biotite area.

With respect to the number of additional positive octahedral charge in the

octahedral layers of biotite structural formulas, Foster (1960) pointed out that most

biotites having the number of additional positive charge greater than 0.5 in the unit

●

cell or 0.25 m the half-cell belong to the bivalent iron-dominant biotite. As seen from

talbes 2 and 3, thirty four analyzed biotites among丘比y six ones have the number of

additional positive charge greater than 0.50 in the unit cell or 0.25 in the half-cell in the

octahedral layers.

Ⅹ-ray Powder Diぽraction of the Analyzed Biotites

and Estimated Polymorphs

●

X-ray powder diffraction employing CuKα radiation was made of the analyzed

biotites to examine polymorph of the biotites from granitic rocks belonging to the same

●

genetical system, i.e., the Southwestern Outer Zone-type, and to investigate a relation

between chemical composition and polymorph of the biotites, a relation betwen

polymorph of the biotites and chemical composition of its host granitic rocks, and the

reflection of the remarkable contamination by which granitic rocks were affected to

polymorph of the analyzed biotites. However, almost all of these subjects could

not be dissolved on the following reason.

●

Although the standard X-ray powder patterns for various polymorphs of biotite

should be established, they have not yet been settled. Accordingly, it has been

di氏cult to identify individual polymorphs from X-ray powder data only. According to

Smith and Yoder (1958), only common polymorphs such as dioctahedral 1M-3T and 2M

polymorphs can be identi鮎d from powder patterns, but lM polymorph and 3T

poly-morph in phlogopite and other trioctahedral micas can only be distinguished from

each other by using a single crystal method. Regarding synthetic annite, X-ray data

pazireopi aq^.jo^uo^uoq oouOtbaゥq*jo

S

!

詔

f

[

O

i

p

j

.

u

o

s

a

^

o

i

g

;

0

0

+

寸

寸

=

i

p

d

*

F

n

p

9

Z

i

C

r

e

u

y

j

o

詔

i

n

r

a

j

o

^

f

e

j

r

u

p

n

x

t

s

S

u

i

^

i

左

^

*

>

｣

p

a

s

n

v

召

C

.

印

a

i

q

ォ

x

Structural For血ulas and Polymorphs of Biotites

Oヽ

c¥j ^-x in in I I ⊂)  uヽ トー N 寸 Ch CO Lfヽ  ト- ＼D ∼ uヽ  r-i LPv m ⊂)  N ト-       ⊂D H LT＼ in jzt ト- ⊂) Ln  ⊂〉 rl

lLヽ 卜  ○ヽ  ト-E rH rH                

m ヽ_′  LT¥ CM O〇  ⊂) ⊂) ⊂3 C¥J H ⊂) uヽ  ⊂〉 ⊂) ｢-i r-i O C¥J

⊂)       +  l ●●

寸

寸

.

〇

m

m

.

∼

T

0

.

m

(

∼

)

N

T

寸

T

J

0

8

-1 ≡

o

T

ト

z

f

i

O

Q

 

寸

0

卜

で

寸

0

8

 

3

O

t

7

S

8

0

6

｣

 

3

X

-｣

l ⊂)  J N ⊂) ⊂) 〇〇 in in  ⊂〉 u⊃ ⊂) ＼､〇  二r lLヽ O H VI⊃ uヽ u⊃ ⊂) ○ヽ  H ⊂) 卜 CO  卜  LLl ● ● ● ● ● ● ● ● ● ● ● ● ● C0      0 ⊂) N N ⊂) Ln  ⊂) ⊂ > rH ド-i O C¥J +   t

0

0

.

め

-ト

0

.

0

9

9

'

Z

'

*

*

爾

此

花

届E K｣ (   N  トー ⊂)   ●   ● rl uヽ N ヽ-■′ ｢ 跳 弧 [ AHS^F^fi こr こr lt¥ oヽ ⊂〉 ニr ● ● ● ● ● ● C) ⊂3 CM H くつ LLT

9

2

*

0

+

L

L

'

1

0

9

*

1

8

0

'

0

6

0

'

o

l ⊂〉  ＼1⊃ ⊂) N u⊃ ＼エ) r-¥ t-¥   ト ＼ロ  ト ⊂)  ⊂〉 ⊂3  H in ifヽ on oo h uヽ  O IJ uヽ CO   ト

● ● ● ● ● ● ● ● ● ● ● ● ● の  ⊂) ⊂〉 ⊂) CM r-¥ ⊂〉 Lr＼  ⊂) ⊂5 r-¥ H  ⊂) + くX) N I l ⊂)  ト  ト oo on m〇 二r Lrヽ ⊂) Cへ        ⊂) ＼､O N ＼エ) uヽ こr ⊂) ＼.D ● ● ● ● ● ● ● ● ● ● Lfヽ N       の  ⊂) ⊂) ⊂3 CM H ⊂〉 Lr＼ の N l  暮  ⊂)  ト m ⊂) 0ヽ uヽ ⊂) 寸 N 卜      O rl ニr.卜 N Oヽ rl ＼8 =      ●   ●       ●     ●   ●   ●   ●   ●   ●   ● lLヽ N CO  ⊂) ⊂) ⊂) CJ H ⊂> in

0

0

.

の

I rL

T

9

'

2

6

m

.

m

≡

s

-p

^

〓 ≡

SO

m

o

言

9

0

6

m

L

X

-a

Z

 

3

0

E

0

8

0

6

m

⊂) 寸 ＼r> 00 m oj on LA H IT¥ rJ N く⊃ ＼.0

99'ZI

M卜.N-Z

6

'

Z

-9

1

*

1

+

E

9

"

T

J ｣ 1

T

Z

*

0

6

0

'

o

Llヽ の  ト ⊂D OO  <¥J ド-{ H C¥J M〇  Oヽ   ト ● ● ● ● ● ● ⊂〉 ⊂蝣> r-¥ r｣  ⊂)  N +  l Lrヽ 0ヽ rJ uヽ  l･｣  rl t-i C¥J 寸 の  ＼JD  ＼､JD ⊂) ⊂) ⊂) N N ⊂) uヽ  ⊂) ⊂3 H iH  ⊂〉  N +  l Ltl ＼O I l ⊂〉  m rJ l｣ ¥r¥ o¥ o¥ co in .=r =     +   4 Lrヽ N Ln Lrヽ N  ト一 三     ●   ● in cm ⊂)  ⊂) ニr Oヽ ⊂〉 ⊂) ⊂) l∫一 ● ● ● ● ● ● ● ● 0⊃   ⊂) ⊂〉 ⊂) N N ⊂) Ln

9

t

7

*

Z

6

8

*

0

+

爪

寸

.

I

I

2

'

T

I

I

*

0

｣

T

'

O

) ⊂〉  卜 rl こr N ＼jd m on la rl ニr ⊂)  Ch l∫＼ ⊂〉   m N ＼エ〉 ニr ⊂) ⊂)  ト  rH CM OO  ト  CO   ト ● ● ● ● ● ● ● ● ● ● ● ● ● ● の   ⊂〉 ⊂) ⊂) N N ⊂d in  ⊂) ⊂〉  H rl   ⊂〉  N +  l

0

0

.

の

-O

T

.

0

1

9

*

2

6

N

.

爪

o # N O T B O J O ' J 9 H

.のON

s

a

x

p

o

q

 

月

o

o

h

J ⊂) ト 二r ニr Ln ⊂) 00 m こr 卜 l∫＼  rl m ∼ Oヽ ⊂) ⊂) u〇  H H O (Yl  く⊃  u⊃ ● ● ● ● ● ● ● ● ● ● ● ● ⊂)    H C¥J O Uヽ  ⊂) ⊂) rl rl r･1  N +  l

T

ォ

*

q

j

i

出

BM

dO

T

^

O

X

uE

Mw

+

2

9

J

+ の a b

TL

I

A

正

鼠

E

l

a

電

+

E

9

d

TL

A

z

T

V

TS

∽uoTCLTのOd

T

B

a

p

a

u

B

t

i

^

e

j

i

のuOTO.TSOd

T

B

a

p

e

q

-B

^

o

o

漸 革 [ s U S l f i i 回 廻 J t 8 ^ B T ォ I 9 a U T Eij BiE CO CO ●         ■ rH H I   + ｢･1 CO ● rl

9

6

*

1

+

99*1+  Z8"T+

0才#2-  ｣0*3-Zl'l+   爪#I+ 00*2+

寸

n

- 

寸

卜

'

I

- 

0

0

*

2

-L

m

'

T

+

 

 

9

8

"

1

+

 

 

S

S

-T

+

ト

爪

I

- 

9

8

*

1

- 

 

 

m

.

t

I

￠Sa^qo ォi9^Bitiaq.UT a叫ォIBUO

x

q

R

v

t

a

u

a

a

a

u

u

T

a

3

c

i

B

u

o

T

B

j

p

a

u

-e

a

a

a

j

,

a

切

t

i

B

u

o

T

B

c

i

p

a

u

B

a

o

n

t

Q

v

c

r

e

^

.

t

i

t

o

s

o

x

n

.

O

S

p

u

o

d

s

o

x

i

o

o

s

a

o

u

a

j

a

j

9

J

p

u

*

B

s

a

￨

d

i

n

B

S

j

o

j

o

q

白

n

u

p

i

r

e

s

u

o

召

W

で

巴

q

q

V

9

10

_{N. 6ba, K. Tomita, M. Yamamoto, H. Yamashita, J. Ogura}

-〇

〇

.

∞

-c

r

o

T

｣

"

Z

9

m

.

爪

≡

｣

-W

〓 I

1

9

*

2

6

｣

'

S

≡

e

-q

d

〓

T-dO 2-2012 TOT2 TOT20T6S

u a i i t t Ln m ⊂) LJヽ Ln CO r-i Oヽ rl r｣  卜  rl1 on c¥j oo ト- ⊂) ＼エ)  m ⊂) ニt oo c¥j m ● ● ● ● ● ● ● ● ● ● ● ● ⊂5 O Cn r-i ⊂) Ln  ⊂〉 ⊂) rl rl  ⊂)  N +   l l O u⊃ Lハ ト一 二r N ＼エ) ⊂I>  LT¥ Cフヽ ⊂) 二r  ニr rl ⊂)  rJ m rJ N Oヽ ⊂) Oヽ  ｢1 ⊂) Llt 亡一･ O⊃  ＼〇 ● 〇〇  ⊂) ⊂) ⊂D On rH ⊂3 LT¥  ⊂) ⊂) ｢^ h  ⊂)  N +  I

6

ト

.

m

u

〇

.

0

0

8

*

1

T

｣

'

｣

O

S

'

O

N

寸

.

0

〇

〇

.

∞

ト

N

.

〇

< k

V Z

8

｣

'

S

〓 Xfc^B i;≡ .=r ＼､〇 三     ●   ● in c¥^ L弓≡ 冗訂 寸 l∫ヽ i I e

I ftMV

LA Lf¥ ニT  ¥JT¥ =      ●   ● m oj

6

｣

'

Z

T

9

'

m

≡

mN

--ト ○ヽ 〇〇 二t en ur¥ rl  ⊂) CM  ¥S¥  KD ● ● ● ● ● ● ⊂⊃ ⊂⊃ rl r｣  ⊂)  N + ] ⊂⊃  ＼ロ トー ト-  ト H in oo m トー en en      トー

⊂)  rJ r4 in ト- Oヽ ⊂) u〇  rJ r^ ia co on ＼エ)

● ● ● ● ● ● ● ● ● ● ● ● ● ●

の  ⊂) ⊂) ⊂) N rl ⊂) Ln  ⊂〉 ⊂) rl rl  ⊂)  N +  l

I ⊂) ＼○ ト一 m 卜一 ト一 m m  ⊂) ＼､エ) 〇〇 二r  ⊂)  m ⊂)  N rl u⊃ CO u⊃ ⊂〉 ＼O r｣ くり 汀ヽ 0ヽ  m iiヽ

● ● ● ● ● ● ● ● ● ● ● ● ● ● (:0  0 ⊂) ⊂5 C¥J rH ⊂) lr＼ ⊂) ⊂1 t-¥ r-¥  ⊂)  N +  l I ⊂:>  h h cm ⊂) N u⊃ (¥i co m rl N  トー  Lrヽ ⊂)  ⊂) ニr ⊂) N ト- ⊂) 二r rl rl こr 卜 ＼､O Ln ● ● ● ● ● ● ● ● ● ● ● ● ● ● 〇〇  ⊂) ⊂} r-i C¥J rl ⊂D LA  ⊂) ⊂) rJ rl  ⊂)  N +  I

I ⊂) l∫＼ ニr rl  ⊂) ＼エd m ctヽ  rl  トー  ト Itv en oヽ ⊂) ニr l･｣ 卜 ＼O LTv ⊂) ニr cm iH en ト一  寸  m ● ● ● ● ● ● ● ● ● ● ● ● ● ● CO  ⊂) ⊂) ⊂) N r｣ ⊂) Ln  ⊂) ⊂) rl l｣  ⊂)  N +  l ニr ⊂)

u〇     o¥ ur¥ ir¥ I ⊂3  I o¥ ニr rl ＼エ)トー ト  ロヽ N Oヽ ⊂) ＼.0 uヽ N ⊂) c¥j en cy｢   ⊂)     rJ ∼ ∼ u⊃ ⊂D PO rH rH こr oo on on ∽ CM      . . .    . rl :石  Ln (＼l ⊂)   CO     ⊂) rA CM r-i ⊂) Ln  ○ ○ rJ rl O ∼ N      +  l ＼.0 ≡

9

0

1

1

才

0

8

 

｣

o

J

o

m

o

8

M

m

.

N

I

の

O

.

〇

十

6

9

*

1

O

S

'

I

m

O

.

0

才

T

.

0

9

才

.

m

｣

(

T

0

2

V

2

2

9

*

2

u

N

.

〇

m

寸

.

0

l

O

O

.

∞

｢   ∴

寸

0

.

0

m

m

.

∼

m

寸

.

n

こ

ト

L

.

∼

J

z

'

S

E

6

9

'

Z

T

M

.

帆

莞n

m

寸

N

O

m

0

8

の○

o T T 2 0   J C O ' J 9 H s o n

S

9

x

p

o

q

 

ぷ

o

o

h

(

p

8

n

u

x

q

.

u

o

o

)

⊂)  N 卜 ∝) Lrヽ Ln uヽ N  ト- Ln Lfヽ トー  の  トー ⊂)  rl ニr N ＼& oo ⊂) 寸  ⊂) ⊂) JJ Ln rl  卜･ ● ● ● ● ● ● ● ● ● ● ● ● ● ● CO  ⊂) ⊂〉 ⊂) CM H ⊂3 in  ⊂) ⊂5 rH tH  ⊂〉  N +  l

I ⊂)  ･ト一 m ト- CO こr Oヽ  ○ヽ ⊂) N rJ Ln Oヽ ⊂)  h ニr m トー 0〇 ⊂) lJ   ⊂〉 Ln ニr ⊂)  N u⊃ +5 CO     ⊂) ⊂) OI H ⊂) Ln  ⊂) ⊂) rl N  ⊂)  N +  l

1

4

2

!

泥

盟

X

T 2

N

dD

i

i

&

i

s

闇

uW

Sw

+

2

9

d

+ 爪 a E

TL

I

A

I

V

T

d

q

O

L

+ の a b

TL

A

I

T

V

IS

s

u

o

T

I

T

S

O

d

T B ォ i p a q ^ j : ^ 9 T

∽

u

o

x

a

x

s

o

d

T

'

e

a

p

s

q

B

^

o

o

g

u

o

T

q

.

x

s

o

d

a

a

^

'

B

T

.

i

a

q

.

U

T

.7   ｢･1 ⊂)  ｢｣ ●        ● ∼ N l   + ト一  〇ヽ ト  〇〇 ●        ● 蝣H H I   + 5iF ト-  トー ● ● r-¥   r-i l   + Ln  ＼エ) m Oヽ ●      ● ∼ r｣ l   + .=r   こr ⊂)  ⊂) ●         ● BiF   弧 l   + CO Oヽ 0⊃   CO ●         ● rl rJ I   4-＼D  ＼エ) ○ヽ  ○ヽ ● ● rH r-i l   +

6

6

*

1

+

6

6

-1

-｣

8

#

T

+

和

E

I

B

寸

9

*

1

+

6

m

.

∼

-O

I

'

2

+

i s m ン a S c T B U O   ォ I 9 ^ B T ォ I 9 a U T

b

S

j

l

"

b

u

o

J

9

^

T

2

T

a

u

a

a

a

u

u

i

a

S

i

i

B

u

o

T

B

a

p

a

u

'

B

a

q

.

a

x

e

S

t

i

B

u

o

T

i

s

a

p

a

t

r

e

a

o

o