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Comfort Wedge Penny Loafers. Maximum quality on the minimum purchase price! Breathable and soft leather lining offers extra comfort for all day wearing. Platform height approximate 1. It is a perfect platform wedge shoes for working, shopping, vocation, party, casual or fashion occasion.

Suede Leather - Lining material: PU - Platform Height: Slip-on - Toe type: Skip to main content. People who viewed this item also viewed. Mouse over to Zoom - Click to enlarge. Have one to sell? Add to watch list. Consistently receives highest buyers' ratings Ships items quickly Has earned a track record of excellent service. US Shoe Size Women's: Sign in to check out Check out as guest. Add to watch list Remove from watch list. Watch list is full.

No additional import charges at delivery! Pattern see all Pattern. Wet look, Shiny Size Type see all Size Type. Width see all Width. Extra Wide EEE 3. Toe Type see all Toe Type. Brand Type see all Brand Type. Occasion see all Occasion. Walking, Hiking, Trail Modified Item see all Modified Item. Condition see all Condition. New with box 12, New without box 3, New with defects 7. Format see all Format. Here, a i is the number of times the irreducible representation will appear in the initial reducible representation.

The order of the point group is represented by h; R is an operation of the group; X R is a character of the operation R in the reducible representation; X i R is a character of the operation R in the irreducible representation, and C R is the number of members in the class to which R belongs. A simple check can be performed to determine that the right number of modes was obtained.

For molecules with any other shape otherwise known as non-linear molecules, the formula is 3N N represents the number of atoms in a molecule. Water should have three vibrational modes.

When the irreducible representation was obtained, it was seen that water has two a 1 modes and a b 2 mode for a total of three. When double checking that you have the correct number of normal modes for other molecules, remember that the irreducible representation E is doubly degenerate and counts as two normal modes. T is triply degenerate and counts for three normal modes, etc. There are multiple ways of constructing the SALCs of a molecule.

The first method uses the known symmetries of the stretching modes of the molecule. To investigate this method, the construction of the SALCs of water is examined.

Two of these vibrations are stretching modes. One is symmetric with the symmetry A 1 , and the other is antisymmetric with the symmetry B 2. The vectors demonstrate the irreducible representations of molecular vibrations. The stretching modes of H 2 O. The SALCs of water can be composed by creating a linear combination of the stretching vectors.

The final step in constructing the SALCs of water is to normalize expressions. To normalize the SALC, multiply the entire expression by the normalization constant that is the inverse of the square root of the sum of the squares of the coefficients within the expression. The other method for constructing SALCs is the projection operator method. While looking for the SALCs of a molecule, one uses vectors represented by b j , on the other hand, while looking for the LCAO of a molecule, one uses atomic orbitals as the basis set.

The vectors demonstrate the possible vibration of the molecule. While constructing SALCs, the basis vectors can be treated as individual vectors. The first step in constructing the SALC is to label all vectors in the basis set.

Below are the bond vectors of water that will be used as the basis set for the SALCs of the molecule. Labeled vectors of H 2 O. As the vector of the basis set is transformed, record the vector that takes its place. Water is a member of the point group C 2V. The transformations of the basis vectors of H 2 O. Once the transformations have been determined, the SALC can be constructed by taking the sum of the products of each character of a representation within the point group and the corresponding transformation.

Projection Operator method for C 2v. This demonstrates that water has two stretching modes, one is a totally symmetric stretch with the symmetry, A 1 , and the other is an antisymmetric stretch with the symmetry B 2.

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