By Alan J. Benesi
Provides the speculation of NMR stronger with Mathematica© notebooks
- Provides brief, targeted chapters with short motives of well-defined subject matters with an emphasis on a mathematical description
- Presents crucial effects from quantum mechanics concisely and for simple use in predicting and simulating the result of NMR experiments
- Includes Mathematica notebooks that enforce the idea within the kind of textual content, portraits, sound, and calculations
- Based on type established equipment built through the writer over his 25 yr educating profession. those notebooks convey precisely how the idea works and supply helpful calculation templates for NMR researchers
Read or Download A Primer of NMR Theory with Calculations in Mathematica PDF
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Extra resources for A Primer of NMR Theory with Calculations in Mathematica
It is followed by two cells that define two different vectors, a and b. After a comment, the scalar product (dot product) of the two vectors is demonstrated, followed by a cell showing that the scalar product is commutative. After a comment, the vector cross product is demonstrated, followed by a cell that shows that the cross product is not commutative. After a comment, two 3 × 3 square matrices A and G are defined. A are demonstrated. Matrix multiplication of square matrices yields a square matrix of the same dimensionality, in this case 3 × 3.
A are demonstrated. Matrix multiplication of square matrices yields a square matrix of the same dimensionality, in this case 3 × 3. Elements of the product matrix are obtained by adding the products of appropriate row elements of the first matrix and elements of the appropriate column of the second matrix. Matrix multiplication is generally not commutative, as demonstrated in the next several cells. Products of vectors and matrices yield vectors as shown in the next cells. These products are also generally not commutative.
The strange nature of superposition can be appreciated by considering a non‐ NMR experiment (Sakurai, 1985). Stern and Gerlach generated a beam of neutral silver atoms in a vacuum by evaporating silver from an oven. After collimating the beam of silver atoms by passing it through slits, it was passed through a region with a large nonuniform magnetic field. Because each silver atom contained one unpaired electron with electron spin quantum number I = 1/2,1 each silver atom had a net electron spin magnetic moment.
A Primer of NMR Theory with Calculations in Mathematica by Alan J. Benesi