Pearson symbol |
the pearson symbol, or pearson notation, is used in
the two (italicised) letters specify the
a | triclinic = anorthic |
m | monoclinic |
o | orthorhombic |
t | tetragonal |
h | hexagonal |
c | cubic |
p | primitive | 1 |
s,a,b,c | one side/face centred | 2 |
i | body centred (from innenzentriert (in german))^{[3]} | 2 |
r | rhombohedral centring (see below) | 3 |
f | all faces centred | 4 |
the letters a, b and c were formerly used instead of s. when the centred face cuts the x-axis, the bravais lattice is called a-centred. in analogy, when the centred face cuts the y- or z-axis, we have b- or c-centring, respectively.^{[3]}
the fourteen possible bravais lattices are identified by the first two letters:
crystal family | lattice symbol | pearson symbol letters |
---|---|---|
triclinic | p | ap |
monoclinic | p | mp |
s | ms | |
orthorhombic | p | op |
s | os | |
f | of | |
i | oi | |
tetragonal | p | tp |
i | ti | |
hexagonal | p | hp |
r | hr | |
cubic | p | cp |
f | cf | |
i | ci |
The Pearson symbol, or Pearson notation, is used in
The two (italicised) letters specify the
a | triclinic = anorthic |
m | monoclinic |
o | orthorhombic |
t | tetragonal |
h | hexagonal |
c | cubic |
P | Primitive | 1 |
S,A,B,C | One side/face centred | 2 |
I | Body centred (from innenzentriert (in German))^{[3]} | 2 |
R | Rhombohedral centring (see below) | 3 |
F | All faces centred | 4 |
The letters A, B and C were formerly used instead of S. When the centred face cuts the X-axis, the Bravais lattice is called A-centred. In analogy, when the centred face cuts the Y- or Z-axis, we have B- or C-centring, respectively.^{[3]}
The fourteen possible Bravais lattices are identified by the first two letters:
Crystal family | Lattice symbol | Pearson symbol letters |
---|---|---|
Triclinic | P | aP |
Monoclinic | P | mP |
S | mS | |
Orthorhombic | P | oP |
S | oS | |
F | oF | |
I | oI | |
Tetragonal | P | tP |
I | tI | |
Hexagonal | P | hP |
R | hR | |
Cubic | P | cP |
F | cF | |
I | cI |