Symbol index

Fig. 2. Plot of Sargipali granitoid in (a) CIPW normative Ab-Or-An diagram (after Barker 1979), and (b) Shand s classification of granites, based on Al-saturation index. Symbols filled circles - massive granite, open circles - foliated granite.

An index (symbolized by CT) of the magnitude of change (or output) X exhibited by a system variable in response to a certain perturbation (or input) ... 

We proceed to derive an algorithm which yields a numerical index for any molecule with A atoms and with P,. To embrace the information for the extremes in Eq. [48], the products of ratios of P, to Pm ,x nd P, to P, n are used. We write down an index of shape of order one, using k (kappa) as the index symbol ... 

Repeated indices are summed, and the three index symbol ey is - -1 and —1 for cyclic and non-cychc sequences of the indices. For real basis wave functions... 

In the index symbol the Roman figure before the letter K (which means class) shows the number of the series the superscript to K gives the number of the column and the subscript to K gives the number of the line of this series of Table IX. Thus in Table IX we find according to the symbol I K the combination of atoms... 

In the case of parallel determination of the O2 concentration in the measuring gas with an O2 sensor, this equation can be analytically used with the help of a computer program. In rough, the second term of Equation (25-86) can be omitted at high temperature because the value of A 9 exceeds that of the O2 concentration. With the above used index symbols the equation for the determination of is in this case as follows ... 

The dyadics and are two-index, symbolic operators termed the multiparticle force and torque operators. They are defined by the relations... 

Figure 9.7 Relationship between long-chain brandling frequency and melt flow index (symbols same as in Figs 9.5 and 9.6). (From Ref. 3.)...

Coordinate Type Index Symbols Representative Equation Equation Symbols... 

The symbol M represents the masses of the nuclei in the molecule, which for simplicity are taken to be equal. The symbol is the Kionecker delta. The tensor notation is used in this section and the summation convention is assumed for all repeated indexes not placed in parentheses. In Eq. (91) the NACT appears (this being a matrix in the electronic Hilbert space, whose components are denoted by labels k, m, and a vector with respect to the b component of the nuclear coordinate R). It is given by an integral over the electron coordinates... 

The symbols X and denote the quantum mechanical coordinates of the nuclei and electrons, respectively. The index p runs over electronic structures and y over geometries. 

In empirical formulas of inorganic compounds, electropositive elements are listed first [3]. The stoichiometry of the element symbols is indicated at the lower right-hand side by index numbers. If necessary, the charges of ions are placed at the top right-hand side next to the element symbol (e.g., S "). In ions of complexes, the central atom is specified before the ligands are listed in alphabetical order, the complex ion is set in square brackets (e.g., Na2[Sn(OH)+]). 

Atomic symbols are usually written directly behind the index of an atom. 

Both tables, the atom and the bond lists, are linked through the atom indices. An alternative coimection table in the form of a redundant CT is shown in Figure 2-21. There, the first two columns give the index of an atom and the corresponding element symbol. The bond list is integrated into a tabular form in which the atoms are defined. Thus, the bond list extends the table behind the first two columns of the atom list. An atom can be bonded to several other atoms the atom with index 1 is connected to the atoms 2, 4, 5, and 6. These can also be written on one line. Then, a given row contains a focused atom in the atom list, followed by the indices of all the atoms to which this atom is bonded. Additionally, the bond orders are inserted directly following the atom in-... 

Section 2 combines the former separate section on Mathematics with the material involving General Information and Conversion Tables. The fundamental physical constants reflect values recommended in 1986. Physical and chemical symbols and definitions have undergone extensive revision and expansion. Presented in 14 categories, the entries follow recommendations published in 1988 by the lUPAC. The table of abbreviations and standard letter symbols provides, in a sense, an alphabetical index to the foregoing tables. The table of conversion factors has been modified in view of recent data and inclusion of SI units cross-entries for archaic or unusual entries have been curtailed. 

Fig. 12. Tensile strength vs draw ratio (6) 0.42 melt index spun at 50 m /min, B, and 500 m /min, A, A 12.0 melt index spun at 100 m /min, , O and 500 m /min, , <). Open symbols = cold drawn and annealed at 140°C filled symbols = drawn at 140°C. To convert GN/m to dyne/cm, multiply by...

Partial Molar Properties Consider a homogeneous fluid solution comprised of any number of chemical species. For such a PVT system let the symbol M represent the molar (or unit-mass) value of any extensive thermodynamic property of the solution, where M may stand in turn for U, H, S, and so on. A total-system property is then nM, where n = Xi/i, and i is the index identifying chemical species. One might expect the solution propei fy M to be related solely to the properties M, of the pure chemical species which comprise the solution. However, no such generally vahd relation is known, and the connection must be establi ed experimentally for eveiy specific system. 

In Eqs. (2-102) the symbols have these meanings The running index i denotes the observation number ( goes from 1 to n, the total number of observations) w, = 1/Z, where... 

A few comments on the layout of the book. Definitions or common phrases are marked in italic, these can be found in the index. Underline is used for emphasizing important points. Operators, vectors and matrices are denoted in bold, scalars in normal text. Although I have tried to keep the notation as consistent as possible, different branches in computational chemistry often use different symbols for the same quantity. In order to comply with common usage, I have elected sometimes to switch notation between chapters. The second derivative of the energy, for example, is called the force constant k in force field theory, the corresponding matrix is denoted F when discussing vibrations, and called the Hessian H for optimization purposes. 

Merkmal, n. characteristic, mark, sigri, symbol, indication, index, criterion. 

By an abuse of notation, using the graph symbol to denote the cycle index, this can be conveniently written as... 

The subscripts 1,2,3 refer to the main solvent, the polymer, and the solvent added, respectively. The meanings of the other symbols are n refractive index m molarity of respective component in solvent 1 C the concentration in g cm"3 of the solution V the partial specific volume p the chemical potential M molecular weight (for the polymer per residue). The surscript ° indicates infinite dilution of the polymer. 

The element symbols within each formula are arranged according to a modified Hill system in which the order is metal(s), C, H and then any remaining symbols arranged alphabetically. Compounds containing two (or more) different metals appear twice (or more), being listed under each metal. Common ligand abbreviations which appear in the text have also been used in the index. These include acac (acetylacetone), bipy (2,2 -bipyridyl), diars [o-phenylenebis(dimethyl-arsine)], dien (diethylenetriamine), etc. 

Further steps toward universality are taken by the replacement of element and compound names wherever possible by symbols and formulas, and by adding to data in older units their recalculated SI equivalents. The usefulness of the reference sections has been increased by giving journal-title abbreviations according to the Chemical Abstracts Service Source Index, by listing in each reference all of its authors and by accompanying references to patents and journals that may be difficult to access by their Chemical... 

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