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We present direct spectroscopic modeling of five Type Iax supernovae (SNe)with the one dimensional Monte Carlo radiative transfer code TARDIS. Theabundance tomography technique is used to map the chemical structure andphysical properties of the SN atmosphere. Through via fitting of multiplespectral epochs with self-consistent ejecta models, we can then constrain thelocation of some elements within the ejecta. The synthetic spectra of thebest-fit models are able to reproduce the flux continuum and the mainabsorption features in the whole sample. We find that the mass fractions ofIGEs and IMEs show a decreasing trend toward the outer regions of theatmospheres using density profiles similar to those of deflagration models inthe literature. Oxygen is the only element, which could be dominant at highervelocities. The stratified abundance structure contradicts the well-mixedchemical profiles predicted by pure deflagration models. Based on the deriveddensities and abundances, a template model atmosphere is created for the SN Iaxclass and compared to the observed spectra. Free parameters are the scaling ofthe density profile, the velocity shift of the abundance template, and the peakluminosity. The results of this test support the idea that all SNe Iax can bedescribed by a similar internal structure, which argues for a common origin ofthis class of explosions.

Type Iax SNe as a few-parameter family