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MPG mm'2'

Properties:

Mx, Rz⨂T, My⨂T

1D Identification

  • P(z)
  • P'(y)
  • A'(x)

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
A(y)Transverse E-induced ferro-rotational vector
M(z)Transverse magnetoelectric effect
E(y) ►
k(z)
A(x)
E(z) ►
k(y)
k(xy)
k(yx)
M(x)
M(xy)
M(yx)
E(xy) ►
E(yx)
A(yx)
E(yx) ►
E(xy)
A(xy)
k(x) ►
A(z)
M(y)
k(y) ►
V(z)
k(xy)
k(yx)
M(x)
M(xy)
M(yx)
k(z) ►
V(y)
A(x)
k(xy) ►
V(z)
k(y)
k(yx)
M(x)
M(yx)
k(yx) ►
V(z)
k(y)
k(xy)
M(x)
M(xy)
A(x) ►
V(y)
k(z)Shear-stress induced toroidicity (nonreciprocity) (piezotoroidic tensor)
A(y) ►
V(x)
M(z)
A(z) ►
k(x)
M(y)
A(xy) ►
E(yx)
A(yx)
A(yx) ►
E(xy)
A(xy)
H(x) ►
V(z)
k(y)
k(xy)
k(yx)
M(xy)
M(yx)
H(y) ►
k(x)
A(z)
H(z) ►
V(x)
A(y)
H(xy) ►
V(z)
k(y)
k(yx)
M(x)
M(yx)
H(yx) ►
V(z)
k(y)
k(xy)
M(x)
M(xy)
C(x) ►
A(z)
M(y)Chiral light or torsional strain induced M, inverse Faraday effect
C(y) ►
k(x)
A(z)
C(z) ►
k(x)
M(y)
C(xy) ►
V(z)
k(y)
k(yx)
M(x)
M(yx)
C(yx) ►
V(z)
k(y)
k(xy)
M(x)
M(xy)
C'(x) ►
A(y)
M(z)
C'(y) ►
V(x)
M(z)
C'(z) ►
V(x)
A(y)
C'(xy) ►
E(yx)
A(yx)
C'(yx) ►
E(xy)
A(xy)
D'(x) ►
V(y)
k(z)
D'(y) ►
k(z)
A(x)
D'(z) ►
V(y)
A(x)
D'(xy) ►
E(yx)
A(yx)
D'(yx) ►
E(xy)
A(xy)

Longitudinal Property

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

Full Rank Property

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