Using the two-modulator generalized ellipsometry microscope (2-MGEM), it is shown that it is possible to determine the direction of the optic axis of crystallites of the high birefringence materials calcite and dolomite. 2-MGEM measurements are performed in reflection at near-normal incidence, so sample preparation requires only an optically polished surface. For uniaxial materials, the 2-MGEM measures the direction of the fast axis and the diattenuation, which can then be related to the tilt angle of the optic axis with respect to the surface normal once the maximum diattenuation is known. The optical resolution of the present instrument is 4-6 μm, and areas as large as 1 cm2 can be measured without distortion. Additionally, the 2-MGEM measures the depolarization, which is a measure of the quality of the data. Using this information, an optical pole figure can be determined. The 2-MGEM results are compared with electron backscatter diffraction (EBSD) measurements on the same samples. Additional standard spectroscopic generalized ellipsometry measurements at a large angle of incidence were performed on single crystal calcite and dolomite to determine the spectroscopic ordinary and extraordinary refractive indices from 220 nm to 850 nm from which the maximum diattenuation can be determined.

1
Berek
,
M.
,
Mikroskopische Mineralbestimmung mit Hilfe der Universaldrehtischmethoden
.
Gebrüder Borntraeger
, (Berlin,
1924
).
3
Fazio
,
E.
,
Punturo
,
R.
,
Cirrincione
,
R.
,
Kern
,
H.
,
Pezzino
,
A.
,
Wenk
,
H.-R.
,
Goswanmi
,
S.
, and
Mamtani
,
M. A.
, “
Quartz preferred orientation in naturally deformed mylonitic rocks (Montalto shear zone-Italy): A comparison of results of different techniques, their advantages and limitations
,”
Int. J. Earth Sci.
106
,
2259
2278
(
2017
).
4
Gifford
,
J. W.
, “
The refractive indices of fluorite, quartz, and calcite
,”
Proc. R. Soc. London
70
,
329
340
(
1902
).
5
Graves
,
H.
,
Le Pape
,
Y.
,
Naus
,
D.
,
Rashid
,
J.
,
Saouma
,
V.
,
Sheikh
,
A.
, and
Wall
,
J
.,
Expanded Material Degradation Assessment (EMDA), Volume 4: Aging of Concrete
(NUREG/CR-7153, ORNL/TM-2011/545,
US Nuclear Regulatory Commission
,
2014
).
6
Japan Nuclear Energy Safety Organization
,
Review Manual for Aging Management Technical Evaluation
(JNES-RE-2013-9012,
Tokyo
,
2013
).
7
Jellison
,
G. E.
, Jr.
, “
Data analysis for spectroscopic ellipsometry
,”
Thin Solid Films
234
,
416
422
(
1993
).
8
Jellison
,
G. E.
, Jr.
, “
Spectroscopic ellipsometry data analysis: Measured versus calculated quantities
,”
Thin Solid Films
313–314
,
33
39
(
1998
).
9
Jellison
,
G. E.
, Jr.
and
Hunn
,
J. D.
, “
Optical anisotropy measurements of TRISO nuclear fuel particle cross-sections: The method
,”
J. Nucl. Mater.
372
,
36
44
(
2008
).
10
Jellison
,
G. E.
, Jr.
,
Hunn
,
J. D.
, and
Lee
,
H. N.
, “
Measurement of the optical functions of highly oriented pyrolytic graphite (HOPG) in the visible
,”
Phys. Rev. B
76
,
085125
(
2007
).
11
Jellison
,
G. E.
, Jr.
,
Hunn
,
J. D.
, and
Rouleau
,
C. M.
, “
Normal-incidence generalized ellipsometry using the two-modulator generalized ellipsometry microscope (2-MGEM)
,”
Appl. Opt.
45
,
5479
5488
(
2006
).
12
Jellison
,
G. E.
, Jr.
,
McGuire
,
M. A.
,
Boatner
,
L. A.
,
Budai
,
J. D.
,
Specht
,
E. D.
, and
Singh
,
D. J.
, “
Spectroscopic dielectric tensor of monoclinic crystals: CdWO4
,”
Phys. Rev. B
84
,
195439
(
2011
).
13
Jellison
,
G. E.
,Jr.
and
Modine
,
F. A.
, “
Two-modulator generalized ellipsometry: Experiment and calibration
,”
Appl. Opt.
36
,
8184
8189
(
1997
);
[PubMed]
Jellison
,
G. E.
, Jr.
and
Modine
,
F. A.
, “
Two-modulator generalized ellipsometry: Theory
,”
Appl. Opt.
36
.
8190
8198
(
1997
).
[PubMed]
14
Jellison
,
G. E.
, Jr.
,
Modine
,
F. A.
, and
Boatner
,
L. A.
, “
Measurement of the optical functions of uniaxial materials by two-modulator generalized ellipsometry: Rutile (TiO2)
,”
Opt. Lett.
22
,
1808
1810
(
1997
).
15
Koller
,
P.
,
N. Jahrb. Min.
42
,
457
(
1918
).
16
Martens
,
F. F.
, “
On the dispersion of ultraviolet light
,”
Ann. Phys.
7
,
603
640
(
1901
).
17
Mock
,
A.
,
Korlacki
,
R.
,
Knight
,
S.
, and
Schubert
,
M.
, “
Anisotropy, phonon modes, and lattice anharmonicity from dielectric function tensor analysis of monoclinic cadmium tungstate
,”
Phys. Rev. B
95
,
165202
(
2017
).
18
Newnham
,
R. E.
,
Properties of Materials: Anisotropy Symmetry Structure
(
Oxford University Press Inc.
,
New York
,
2005
).
19
Panozzo-Heilbronner
,
R.
and
Pauli
,
C.
, “
Integrated spatial and orientation analysis of quartz c-axes by computer-aided microscopy
,”
J. Struct. Geol.
15
,
369
383
(
1993
).
20
Prior
,
D. J.
,
Boyle
,
A. P.
,
Brenker
,
F.
,
Cheadle
,
M. C.
,
Day
,
A.
,
Lopez
,
G.
,
Peruzzo
,
L.
,
Potts
,
G. J.
,
Reddy
,
S.
,
Spiess
,
R.
,
Timms
,
N. E.
,
Trimby
,
P.
,
Wheeler
,
J.
, and
Zetterstrom
,
L.
, “
The application of electron backscatter diffraction and orientation contrast imaging in the SEM to textural problems in rocks
,”
Am. Mineral.
84
,
1741
1759
(
1999
).
21
Prior
,
D. J.
,
Mariani
,
E.
,
Wheeler
,
J.
 et al., in
Electron Backscatter Diffraction in Materials Science
, edited by
A. J.
Schwartz
(
Springer Science + Business Media, LLC
,
2009
), Chap. 26.
22
Rosseel
,
T. M.
,
Maruyama
,
I.
,
Le Pape
,
Y.
,
Kontani
,
O.
,
Gioria
,
A. B.
,
Remec
,
I.
,
Wall
,
J. J.
,
Sircar
,
M.
,
Andrande
,
C.
, and
Ordonez
,
M.
, “
Review of the current state of knowledge on the effects of radiation on concrete
,”
J. Adv. Concr. Technol.
14
,
368
383
(
2016
).
23
Schubert
,
M.
,
Rheinländer
,
B.
,
Woollam
,
J. A.
,
Johs
,
B.
, and
Herzinger
,
C. M.
, “
Extension of rotating analyzer ellipsometry to generalized ellipsometry: Determination of the dielectric function tensor from uniaxial TiO2
,”
J. Opt. Soc. Am. A
13
,
875
(
1996
).
24
Tiwald
,
T. E.
and
Schubert
,
M.
, “
Measurement of rutile TiO2 dielectric tensor from 0.148 to 33 microns using generalized ellipsometry
,”
Proc. SPIE
4103
,
19
29
(
2000
).
25
Tropf
,
W. J.
, “
Calcium carbonate, calcite (CaCO3)
,” in
Handbook of Optical Constants of Solids III
, edited by
E. D.
Palik
(
Academic Press
,
San Diego
,
CA
,
1998
).
You do not currently have access to this content.