In The Unicode Standard, Han implementation is discussed in  Chapter 18 East Asia.

Han was first encoded in The Unicode Standard version 1.0. The script is now encoded in the following blocks:

BlocksCharacter RangeAdded in Unicode VersionCode charts
CJK Radicals Supplement 2E80..2EFF 3.0  U2E80
CJK Radicals / KangXi Radicals 2F00..2FDF 3.0  U2F00
CJK Symbols and Punctuation 3000..303F 1.0  U3000
CJK Unified Ideographs Extension A 3400..4DBF 3.0  U3400
CJK Unified Ideographs 4E00..9FFF 1.1  U4E00
CJK Compatibility Ideographs F900..FAFF 1.1  UF900
Enclosed Ideographic Supplement 1F200..1F2FF 5.2 U1F200
CJK Unified Ideographs Extension B 20000..2A6DF 3.1  U20000
CJK Unified Ideographs Extension C 2A700..2B73F 5.2  U2A700
CJK Unified Ideographs Extension D 2B740..2B81F 6.0  U2B740
CJK Unified Ideographs Extension E 2B820..2CEAF 8.0  U2B820
CJK Unified Ideographs Extension F 2CEB0..2CEBF 10.0  U2CEB0  
CJK Compatibility Ideographs Supplement 2F800..2FA1F 3.1  U2F800

The following are in the "Common" category, but they do relate to the Han script.

BlocksCharacter RangeAdded in Unicode VersionCode charts
Ideographic Description Characters 2FF0..2FFF 3.0  U2FF0
CJK Strokes 31C0..31EF 4.1  U31C0
Enclosed CJK Letters and Months 3200..32FF 1.0  U3200