This invention relates to metallocene compositions and their use in the preparation of catalyst systems for olefin polymerization, particularly propylene polymerization. The metallocene compositions may be represented by the formula: ##STR1## wherein M.sup.1 is selected from the group consisting of titanium, zirconium, hafnium, vanadium, niobium tantalum, chromium, molybdenum and tungsten; R.sup.1 and R.sup.2 are identical or different, and are one of a hydrogen atom, a C.sub.1 -C.sub.10 alkyl group, a C.sub.1 -C.sub.10 alkoxy group, a C.sub.6 -C.sub.10 aryl group, a C.sub.6 -C.sub.10 aryloxy group, a C.sub.2 -C.sub.40 alkenyl group, a C.sub.7 -C.sub.40 arylalkyl group, a C.sub.7 -C.sub.40 alkylaryl group, a C.sub.8 -C.sub.40 arylalkenyl group, an OH group or a halogen atom, or a conjugated diene which is optionally substituted with one or more hydrocarbyl, tri(hydrocarbyl)silyl groups or tri(hydrocarbyl)silylhydrocarbyl groups, said diene having up to 30 atoms not counting hydrogen; R.sup.3 are identical or different and are each a hydrogen atom, a halogen atom, a C.sub.1 -C.sub.10 alkyl group which may be halogenated, a C.sub.6 -C.sub.10 aryl group which may be halogenated, a C.sub.2 -C.sub.10 alkenyl group, a C.sub.7 -C.sub.40 -arylalkyl group, a C.sub.7 -C.sub.40 alkylaryl group, a C.sub.8 -C.sub.40 arylalkenyl group, a --NR'.sub.2, --SR', --OR', --OSiR'.sub.3 or --PR'.sub.2 radical, wherein R' is one of a halogen atom, a C.sub.1 -C.sub.10 alkyl group, or a C.sub.6 -C.sub.10 aryl group; R.sup.4 to R.sup.7 are identical or different and are hydrogen, as defined for R.sup.3 or two or more adjacent radicals R.sup.5 to R.sup.7 together with the atoms connecting them form one or more rings; ##STR2## --B(R.sup.14)--, --Al(R.sup.14)--, --Ge--, --Sn--, --O--, --S--, --SO--, --SO.sub.2 --, --N(R.sup.14)--, --CO--, --P(R.sup.14)--, or --P(O)(R.sup.14)--, or an amidoborane radical; wherein: R.sup.14, R.sup.15 and R.sup.16 are identical or different and are a hydrogen atom, a halogen atom, a C.sub.1 -C.sub.20 alkyl group, a C.sub.1 -C.sub.20 fluoroalkyl or silaalkyl group, a C.sub.6 -C.sub.30 aryl group, a C.sub.6 -C.sub.30 fluoroaryl group, a C.sub.1 -C.sub.20 alkoxy group, a C.sub.2 -C.sub.20 alkenyl group, a C.sub.7 -C.sub.40 arylalkyl group, a C.sub.8 -C.sub.40 arylalkenyl group, a C.sub.7 -C.sub.40 alkylaryl group, or R.sup.14 and R.sup.15, together with the atoms binding them, form a cyclic ring; or, R.sup.13 is represented by the formula: ##STR3## wherein R.sup.17 to R.sup.24 are as defined for R.sup.1 and R.sup.2, or two or more adjacent radicals R.sup.17 to R.sup.24, including R.sup.20 and R.sup.21, together with the atoms connecting them form one or more rings; M.sup.2 is one or more carbons, silicon, germanium or tin; R.sup.8, R.sub.10 and R.sup.12 are identical or different and have the meanings stated for R.sup.4 to R.sup.7 ; R.sup.9 and R.sub.11 are identical or different and are a Group 14 radical having from 1 to 20 carbon atoms or are each primary, secondary or tertiary butyl groups, aryl groups, isopropyl groups, fluoroalkyl groups, trialkyl silyl groups, or other groups of similar size.

 
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