7.1 Description of spherical harmonic coefficient format

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7.1 Description of spherical harmonic coefficient format

We use unity-norm spherical harmonics as described in sec. B.8 of Dahlen and Tromp [1998] and the G-Cubed article to expand the tomographic and geodynamic models at discrete layers with mid-layer depth . The sets of and -coefficients we then combine into ``model'' files whose format is given in Table 1.

Table 1: Data format description of spherical harmonic models with discrete layers. (Free formatting, fields separated by white spaces.)
actual entry | example or note
| number of layers, e.g. 10
| in km, starting with the deepest level, eg. 2850
| e.g. 31
| always added, even though identical to zero
... |
| in km, next highest level, e.g. 2800
| same as above, redundant
... |
| in km, shallowest level, e.g. 0
... |

All velocity and density perturbations of the spherical harmonic models are in percent from PREM, we indicate the relative deviations by .

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