Information from the many kinds of spectroscopy used by chemists and p
hysicists is fundamental to our understanding of the structure of mate
rials. Numerical techniques have an important role to play in the augm
entation of the instrumentation and technology available in the labora
tory, but are frequently viewed as separate from the laboratory proced
ures. We describe an integrated PC-based approach for obtaining direct
ly the parameter estimates of transition types in piezo-spectroscopic
measurements of crystalline materials. Typically, the analyses in ques
tion are required to handle complex secular matrices, to distinguish b
etween components in the experimental results, and to identify the tra
nsition types as rapidly and as efficiently as possible. The method de
scribed, based on providing a discrete shell to the Powell algorithm,
is shown to give both accurate identification of the transition type i
n the case, of new data and improved fits (i.e. reduction in residual
variation) when compared with results obtained via standard procedures
. In addition it is flexible with respect to the language used and pos
sesses a high degree of portability. We illustrate the success of the
approach using (i) data previously reported on the solution of a trigo
nal defect which includes both mixing of states and spin orbit interac
tions and (ii) new data obtained for a defect related to beryllium imp
urities in silicon.