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MPG 3m

Properties:

C3z, Mx

1D Identification

  • P(z)
  • P'(z)
  • D'(x)
  • D'(y)
  • D'(z)

Odd-Order Property

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

Longitudinal Property

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

Full Rank Property

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