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Using the Sunyaev-Zel'dovich effect. 10.17863/CAM.16635 Grainger, William Frank. This work is concerned with the Sunyaev-Zel'dovich (S-Z) effect in clusters of galaxies and its use in cosmology. In Chapter 2, I consider possible causes of error in the determination of H0 from the uncertain geometry of clusters and complications such as lack of virialisation. From numerical simulations, I find that with 20 clusters, the resultant error is 8%. Chapter 3 details and tests a new maximum likelihood algorithm for the removal of contaminating radio sources. Two new estimates of H0 are presented, 78+26-20 km s-1 Mpc-1 for 0016+16 and 48+14-11 km s-1 Mpc-1 for A611. In chapters 4 and 5 I describe a search for new clusters via extended steep-spectrum radio emission due to merger events or head-tail sources. A candidate sample of possible high-redshift clusters is produced based on S326MHz > 65 mJy and a1.4GHz0.3GHz > 1.5. Six of these were then used as targets for S-Z observations; no unequivocal detection was found implying each cluster has a total mass <~ 10^15 Msun. Optical V, Rs and I follow-up in two of the fields shows two galaxies in each field with V - Rs ~ 3 and Rs ~ 20; similar observations of blank fields show no such galaxies and hence these are good candidate cluster members at z = 0.5-0.6. University of Cambridge 2001-10-09 Thesis Doctoral Doctor of Philosophy (PhD) eng https://www.repository.cam.ac.uk/handle/1810/251795 https://www.repository.cam.ac.uk/bitstreams/122273a2-285f-4500-ae77-831106053e36/download 2836e6371ae6e035e39b2f46116be724 https://www.repository.cam.ac.uk/bitstreams/67e57d7b-6024-415e-83e3-118e85155ee4/download 87eda9de84448d1f82354d60eee3eb5f https://www.repository.cam.ac.uk/bitstreams/e92ba46b-7518-4e26-a5a2-2ffb3c81c494/download a53f2095e76723396715647ea993dba2 https://www.rioxx.net/licenses/all-rights-reserved/