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MPG 2z1'

Properties:

T, Rz, Rz⨂T

1D Identification

  • P(z)
  • A(z)
  • C(x)
  • C(y)
  • C(z)

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
V(y)Transverse (Hall-type) voltage
E(xy)
E(yx)
A(y)Transverse E-induced ferro-rotational vector
A(xy)
A(yx)
E(y) ►
V(x)
E(xy)
E(yx)
A(x)
A(xy)
A(yx)
E(xy) ►
V(x)
V(y)
E(yx)
A(x)
A(y)
A(yx)
E(yx) ►
V(x)
V(y)
E(xy)
A(x)
A(y)
A(xy)
k(x) ►
k(y)Anisotropic conductivity.
k(xy)
k(yx)
M(y)
M(xy)
M(yx)
k(y) ►
k(x)
k(xy)
k(yx)
M(x)
M(xy)
M(yx)
k(xy) ►
k(x)
k(y)
k(yx)
M(x)
M(y)
M(yx)
k(yx) ►
k(x)
k(y)
k(xy)
M(x)
M(y)
M(xy)
A(x) ►
V(y)
E(xy)
E(yx)
A(y)Shear-stress induced ferro-rotational vector
A(xy)
A(yx)
A(y) ►
V(x)
E(xy)
E(yx)
A(x)
A(xy)
A(yx)
A(xy) ►
V(x)
V(y)
E(yx)
A(x)
A(y)
A(yx)
A(yx) ►
V(x)
V(y)
E(xy)
A(x)
A(y)
A(xy)
H(x) ►
k(y)
k(xy)
k(yx)
M(y)Transverse magnetic susceptibility
M(xy)
M(yx)
H(y) ►
k(x)
k(xy)
k(yx)
M(x)
M(xy)
M(yx)
H(xy) ►
k(x)
k(y)
k(yx)
M(x)
M(y)
M(yx)
H(yx) ►
k(x)
k(y)
k(xy)
M(x)
M(y)
M(xy)
C(x) ►
V(z)
A(z)
C(y) ►
V(z)
A(z)
C(xy) ►
V(z)
A(z)
C(yx) ►
V(z)
A(z)
C'(x) ►
k(z)
M(z)
C'(y) ►
k(z)
M(z)
C'(xy) ►
k(z)
M(z)
C'(yx) ►
k(z)
M(z)
D'(x) ►
k(z)
M(z)
D'(y) ►
k(z)
M(z)
D'(xy) ►
k(z)
M(z)
D'(yx) ►
k(z)
M(z)

Longitudinal Property

Primary Secondary
P(x)A(x)
P(y)A(y)
P(z)A(z), C(z)
P'(x)A'(x)
P'(y)A'(y)
P'(z)A'(z), C'(z), D'(z)
A(z)C(z)
A'(z)C'(z), D'(z)
C'(x)D'(x)
C'(y)D'(y)
C'(z)D'(z)

Full Rank Property

Initial Subtracted
P(x)A(x)
P'(x)A'(x)
A(x)P(x)
A'(x)P'(x)
C(x)P(x), P'(x), A(x), A'(x), C'(x), D'(x)
C'(x)D'(x)
D'(x)C'(x)
P(y)A(y)
P'(y)A'(y)
A(y)P(y)
A'(y)P'(y)
C(y)P(y), P'(y), A(y), A'(y), C'(y), D'(y)
C'(y)D'(y)
D'(y)C'(y)
P(z)P'(z), A(z), A'(z), C(z), C'(z), D'(z)
P'(z)A'(z), C'(z), D'(z)
A(z)P(z), P'(z), A'(z), C(z), C'(z), D'(z)
A'(z)P'(z), C'(z), D'(z)
C(z)P(z), P'(z), A(z), A'(z), C'(z), D'(z)
C'(z)P'(z), A'(z), D'(z)
D'(z)P'(z), A'(z), C'(z)