The phrase "assigned not only" is correct and usable in written English.
It can be used when you want to emphasize that something has been assigned in addition to other things, often followed by "but also" to introduce the additional elements.
Example: "The tasks were assigned not only to the team leader but also to each member of the group."
Alternatives: "designated not just" or "allocated not merely".
(Inmates are assigned not only to the furniture factory but also to kitchen, landscaping, and janitorial duty).
Catalog numbers were assigned not only to musical releases but also to stationery, parties and even the dental work of one of the label's founders.
Next year's fellows will be assigned not only to the lowest-performing schools, but also to several hundred schools that have high turnover rates for teachers.
The discrepancies in compensation and benefits reflect the difference in value assigned not only to needs, but to the capabilities of local versus expat staff.
In the Bayesian framework, priors are assigned not only on times, but also on the overall substitution rate parameter μ and on the rate-drift parameter σ2.
In order to investigate the interactions between organisms with different mutation parameters, the model was modified so that each organism was assigned not only coordinates in the morphospace, but also a distinct value of μ (which was held constant over the entire population in all other simulations).
A more thorough bond valence analysis of ordering, this time of O2− and F− in Nb3O5F5 and related compounds, was performed by Brink et al. (108) who were able to use electron and X-ray diffraction results and bond valence arguments to assign not only the average occupancy of each of the four anion sites, but also show that they were locally ordered.
Unlike most of the previous channel assignment schemes, our proposed algorithm assigns not only the non-overlapped (i.e., orthogonal) frequency channels, but also the partially-overlapped channels.
Scholarships were assigned, not requested.
Going above and beyond and doing more problems than assigned will not only boost your understanding of the concept, but will put you on your teacher's good side.
But the report found no single cause of the disaster, assigning blame not only to BP and its contractors but also to the Minerals Management Service, the federal agency that oversaw offshore drilling at the time of the spill.
