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Trigonalrhomboedrisch

TrigonalRhomboedrisch, or trigonal rhombohedral, refers to crystals that combine trigonal symmetry with a rhombohedral lattice. In crystallography, the trigonal crystal system is characterized by a threefold rotation axis along a principal direction. The rhombohedral lattice is a Bravais lattice in which the conventional unit cell can be described as a rhombohedron with equal edges and equal interaxial angles that are not right angles. For practical descriptions, crystallographers often use the hexagonal setting for this family, in which the lattice has a = b ≠ c and the angle gamma = 120°, highlighting the threefold symmetry more clearly.

Many minerals crystallize in the trigonal rhombohedral lattice, including calcite and dolomite, which belong to the

In terminology, trigonal and rhombohedral are sometimes used interchangeably in older literature, but modern crystallography distinguishes

rhombohedral
lattice
type
and
display
rhombohedral
crystal
forms.
Minerals
such
as
quartz
are
commonly
described
as
trigonal
in
terms
of
symmetry,
but
they
are
often
represented
in
the
hexagonal
setting
for
convenience;
in
essence,
the
same
symmetry
can
be
described
with
different
cell
conventions.
between
the
trigonal
crystal
system
and
the
rhombohedral
lattice
within
the
hexagonal
family.
The
trigonal
rhombohedral
description
is
important
for
understanding
the
arrangement
of
atoms,
symmetry
operations,
and
phase
relationships
in
crystals
with
equal-length
axes
and
oblique
angles.