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Symmetry operations symmetries

The angular molecule has the following symmetry operations (symmetry C2V) ... [Pg.69]

Symmetry element Notation for symmetry element Symmetry operation Symmetry operator... [Pg.28]

Our goal is to find a set of states that are simultaneous eigenstates for the molecular Hamiltonian and for the set of symmetry operators. Symmetry operators must commute with the Hamiltonian but not necessarily among themselves. A symmetry operator must be unitary, since, obviously, it cannot change the length of a state vector. Suppose we have an eigenstate of the Hamiltonian ... [Pg.6]

Until now we have labelled our molecular orbitals by using the labels of the atomic orbitals used to make them. This is fine for simple molecules but can become rather cumbersome for larger ones. A standard labelling for molecular orbitals has therefore been developed. This depends on the behaviour of orbitals when acted on by symmetry operations. Symmetry operations will be formally introduced later. Here we need to discuss just two. [Pg.44]

Symmetry element Symmetry operation symmetry operation... [Pg.561]

Products of Symmetry Operations. Symmetry operations are operators that transform three-dimensional space, and (as with any operators) we define the product of two such operators as meaning successive application of the operators, the operator... [Pg.350]

The methyl radical, CH3, with a planar trigonal structure, looks the same if it is rotated by 120, 240, or 360° about an axis (C3 axis in Fig. 5.18) perpendicular to the plane containing three equivalent carbon atoms. An operation that leaves a molecule (object) looking the same (or sending into itself or a position indistinguishable from the original) is a symmetry operation. Symmetry operations include seven symmetry elements in Table 5.6 which are commonly possessed by molecular systems. [Pg.265]

Symmetry Operation Symmetry Element What Happens ... [Pg.185]

Symmetry operators Symmetry elements Point groups Character tables Vibrational modes in molecules Chiral molecules... [Pg.60]

SI. no. Symmetry operation Symmetry elements Hermann-Mauguin symbol Total... [Pg.25]

Define the following terms symmetry operation, symmetry element, principal axis, identity operation, improper rotation, inversion, symmetry group, point group, conjugate elements, similarity transformation and class. [Pg.61]


See other pages where Symmetry operations symmetries is mentioned: [Pg.39]    [Pg.796]    [Pg.1498]    [Pg.81]    [Pg.80]    [Pg.79]    [Pg.226]    [Pg.226]    [Pg.79]    [Pg.88]    [Pg.77]    [Pg.60]    [Pg.438]    [Pg.1101]   


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Algebra of symmetry operations

Ammonia molecule symmetry operations

Ammonia symmetry operations

Angular momentum operator, symmetry

As symmetry operation

Basic Symmetry Operations

Benzene symmetry operations

Born-Oppenheimer approximation symmetry operators

Classes of symmetry operations

Classes of symmetry operators

Classifying symmetry operations

Combination of two or three symmetry operators

Combined symmetry operation

Coupled symmetry operation

Crystal symmetry operator

Determination of Chemical Shift Equivalence by Interchange Through Symmetry Operations

Electron symmetry operator

Electronic Hamiltonian symmetry operators with

Elements and Operations of Symmetry

Ethane symmetry operations

Finite symmetry operations

General Relations Among Symmetry Elements and Operations

General Symmetry-Preserving Pair Creation Operators

Generating Symmetry Coordinates Using the Projection Operator Method

Global symmetry operations

Group of symmetry operations

Group theory symmetry operators

Groups and symmetry operators

Groups of Symmetry Operators

Hamiltonian operator symmetry

Hamiltonian operators dynamical symmetries

Hermitian symmetry operator

Identity symmetry operator

Improper symmetry operation

Infinite symmetry operations

Interactions between symmetry operations

Interchange through symmetry operations

Invariant operators, permutational symmetry

Inversion Symmetry Operation

Local symmetry operations

Mathematical group symmetry operators

Matrices as Representations of Symmetry Operators

Matrix crystal symmetry operator representation

Molecular Classification Using Symmetry Operations

Molecular clusters with one symmetry operator

Molecular symmetry operations

Molecules Symmetry Elements and Operations

No Interchangeability by a Symmetry Operation

Of symmetry operations

Operator symmetry

Operator symmetry

Operators double-group symmetry

Operators symmetry adapted

Permutational symmetry antilinear operator properties

Plane lattices symmetry operations

Point Groups and Symmetry Operations

Point symmetry operations

Point symmetry operators

Polymer chains symmetry operators

Products of Symmetry Operations

Proper symmetry operation

Reflection, symmetry operation

Representation of symmetry operations

Rotation axis symmetry operator

Rotation, symmetry operation

Rotational symmetry operations

Space lattices symmetry operations

Symbolic description of symmetry operations

Symmetry Operations and Classes

Symmetry Operations and Distinguishability

Symmetry operation Triatomic molecules

Symmetry operation algebraic description

Symmetry operation geometrical

Symmetry operation of the first kind

Symmetry operation simple

Symmetry operation symbolic description

Symmetry operations

Symmetry operations

Symmetry operations and elements

Symmetry operations definition

Symmetry operations equivalent

Symmetry operations horizontal mirror plane

Symmetry operations improper rotation

Symmetry operations inverse

Symmetry operations kinds

Symmetry operations matrix representation

Symmetry operations molecules

Symmetry operations multiplication

Symmetry operations on a position vector

Symmetry operations products

Symmetry operations reduction

Symmetry operations relations among

Symmetry operations time reversal

Symmetry operations vertical mirror plane

Symmetry operations, 7, 10 algebra

Symmetry operations, crystallography

Symmetry operations, group

Symmetry operations, group energies under

Symmetry operations, group identity

Symmetry operations, group improper

Symmetry operations, group inverse

Symmetry operations, group proper

Symmetry operations, matrix

Symmetry operations, the point group

Symmetry operator belongs

Symmetry operators and point groups

Symmetry operators function operation

Symmetry operators inversion

Symmetry operators notation

Symmetry operators reflection

Symmetry operators rotation

Symmetry operators space inversion

Symmetry operators spatial rotation

Symmetry operators/operations

Symmetry operators/operations

Symmetry preserving pair creation operators

Symmetry spatial operators

Symmetry, axes operation

Translational symmetry operators

Water symmetry operations

Wave function symmetry operations

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