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MPG 32'

Properties:

C3z, Rx⨂T

1D Identification

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

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
E(xy)
E(yx)
k(y)Anomalous Hall effect
k(z)
k(xy)
k(yx)
M(y)
M(z)Transverse magnetoelectric effect
M(xy)
M(yx)
E(y) ►
V(z)
k(x)
A(z)
M(x)
E(z) ►
A(y)
E(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
E(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)
k(x) ►
V(y)Anomalous Hall effect
V(z)
A(z)
k(y) ►
V(x)
E(xy)
E(yx)
k(z)
k(xy)
k(yx)
M(z)
M(xy)
M(yx)
k(z) ►
A(x)
A(xy)
A(yx)
k(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
k(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)
A(x) ►
E(xy)
E(yx)
k(y)
k(z)Shear-stress induced toroidicity (nonreciprocity) (piezotoroidic tensor)
k(xy)
k(yx)
M(y)
M(z)Shear-stress induced M (piezomagnetic tensor)
M(xy)
M(yx)
A(y) ►
V(z)
k(x)
A(z)
M(x)
A(z) ►
A(y)
A(xy) ►
A(x)
A(yx)
A(yx) ►
A(x)
A(xy)
H(x) ►
V(y)
V(z)
A(z)
H(y) ►
V(x)
E(xy)
E(yx)
k(z)
k(xy)
k(yx)
M(z)
M(xy)
M(yx)
H(z) ►
A(x)
A(xy)
A(yx)
H(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
H(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)
C(x) ►
A(xy)
A(yx)
C(y) ►
A(x)
A(xy)
A(yx)
C(z) ►
A(x)
A(xy)
A(yx)
C(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
C(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)
C'(x) ►
V(y)
V(z)
A(z)
C'(y) ►
V(z)
k(x)
A(z)
M(x)
C'(z) ►
V(y)
k(x)
M(x)
C'(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
C'(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)
D'(x) ►
V(y)
V(z)
A(z)
D'(y) ►
V(z)
k(x)
A(z)
M(x)
D'(z) ►
V(y)
k(x)
M(x)
D'(xy) ►
V(x)
E(yx)
k(y)
k(z)
k(yx)
M(y)
M(z)
M(yx)
D'(yx) ►
V(x)
E(xy)
k(y)
k(z)
k(xy)
M(y)
M(z)
M(xy)

Longitudinal Property

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

Full Rank Property

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