Spin algebra and NMR theory using numerical software

JP Grivet - Concepts in Magnetic Resonance Part A, 2015 - Wiley Online Library
A simple method to execute spin algebra computations is presented. It uses the high‐level
numerical program Scilab and its large and convenient set of linear algebra routines. The …

SD-CAS: spin dynamics by computer algebra system

X Filip, C Filip - Journal of Magnetic Resonance, 2010 - Elsevier
A computer algebra tool for describing the Liouville-space quantum evolution of nuclear 1/2-
spins is introduced and implemented within a computational framework named Spin …

Density matrix calculations in Mathematica™

I Rodriguez, J Ruiz‐Cabello - Concepts in Magnetic …, 2001 - Wiley Online Library
We describe a Mathematica™ package suitable to simulate the behavior of a system of two
spins of different nuclei when a pulse sequence is applied. It may be used to simulate the …

Product-operator algebra for strongly coupled spin systems

D Graverondemilly, A Diop, A Briguet… - Journal of Magnetic …, 1993 - Elsevier
A product-operator description of a large strongly coupled spin-1 2 system for analyzing
multiple-pulse NMR experiments is reported. Three different methods are proposed to obtain …

PJNMR: a platform-independent graphical simulation tool for NMR spectroscopy

PJ Letourneau, R Boyko, BD Sykes - Journal of Magnetic Resonance, 2003 - Elsevier
A new simulation program for multinuclear NMR is introduced. PJNMR (Pure Java NMR)
2.0, written entirely in the Java programming language, simulates pulse sequences on …

MathNMR: Spin and spatial tensor manipulations in Mathematica

A Jerschow - Journal of Magnetic Resonance, 2005 - Elsevier
Spin and spatial tensor manipulations are frequently required to describe the theory of NMR
experiments. A Mathematica package is presented here, which provides some of the most …

A pictorial representation for multispin evolutions

G Wei, RF Snider - Concepts in Magnetic Resonance, 1995 - Wiley Online Library
Modern NMR techniques involve keeping track of the evolutions of two or more coupled
spins. A new multivector representation adequate for visualizing such evolutions is …

Simulating spin dynamics in NMR with a new computer program intended for education: Insensitive

K Boldt - Concepts in Magnetic Resonance Part A, 2011 - Wiley Online Library
The NMR experiment is usually described by a choice of three models that operate on
different levels of abstraction: the vector model, the product operator formalism and the …

Monte Carlo simulation of DNMR spectra of coupled spin systems

Z Szalay, J Rohonczy - Journal of Magnetic Resonance, 2008 - Elsevier
A new program (MC DNMR) is presented for the simulation of dynamic nuclear magnetic
resonance spectra. The algorithm is a Monte Carlo type method based on the extension of …

The theory of DQF‐COSY NMR experiments. I. Amplitude modulation of the signal

P Kempgens - Concepts in Magnetic Resonance Part A, 2010 - Wiley Online Library
Abstract The two‐dimensional (2D) NMR double‐quantum filtered COSY spectrum of an AX
spin system of spin‐1 has been calculated by numerical density matrix calculations. The …