What is claimed is:1. A wristwatch band for a charger and for a computerized watch base that tells time, comprising:a bracelet portion to extend in a length direction at least partially around a wrist of a wearer, the bracelet portion having a power supply device to supply power to the computerized watch base, the power supply device comprising a rechargeable watchband battery, the charger being removably connectable to the bracelet portion and the rechargeable battery, to transfer power to the rechargeable battery of the power supply device; and a connector element to removably secure the computerized watch base to the rechargeable watchband battery and the bracelet portion, whereinthe connector element provides a removable connection that secures the bracelet portion to the computerized watch base and transfers power from the rechargeable watchband battery to the computerized watch base such that when connected, the bracelet portion and the computerized watch base provide a continuous loop that can extend all the way around the wrist of a wearer, the bracelet portion has two ends and extends only partially around a wrist of a wearer,the wristwatch band further comprises an inductive charging portion, the inductive charging portion connecting the two ends of the bracelet portion such that bracelet portion and the inductive charging portion together extend fully around a wrist of the wearer, the connector element securing the computerized watch base to the wristwatch band at a position that abuts the inductive charging portion to an inductive charge receiving element on the computerized watch base, the charger is a wireless inductive charger to transfer power to the inductive charging portion of the power supply device, the inductive charging portion is at least partially transparent to electromagnetic fields, and the wireless inductive charger simultaneously transfers power to the inductive charging portion of the power supply device and to the inductive charge receiving element on the computerized watch base when the computerized watch base is secured to the bracelet portion.2. The wristwatch band according to claim 1, whereinin the length direction, the bracelet portion is discontinuous and terminates at first and second clasp ends,first and second clasp sections are provided respectively at the first and second clasp ends of the bracelet portion, the first and second clasp sections releaseably connecting around the wrist of the wearer, andelectrical connectors are provided in each clasp section such that when the clasp is connected around the wrist of the wearer, an electrical connection is made from the first clasp end to the second clasp end.3. The wristwatch band according to claim 1, wherein the connector element comprises a pair of band connectors, the band connectors are provided at each of two ends of the bracelet portion such that the bracelet portion extends in the length direction between the two band connectors, and each band connector connects to a mating watch connector of the computerized watch base to secure the computerized watch base to the bracelet portion.4. The wristwatch band according to claim 3, wherein the power supply device has a pair of terminals with one terminal being provided in each band connector to electrically connect to a mating terminal in a respective mating watch connector.5. The wristwatch band according to claim 1, further comprising:a charging circuit to set when power is supplied from the power supply device to the computerized watch base.6. The wristwatch band according to claim 1, whereinthe bracelet portion has opposing inner and outer surfaces,the inner surface contacts the wrist of the wearer,the outer surface is exposed, andthe power supply device comprises a solar cell exposed at the outer surface of the bracelet portion.7. The wristwatch band according to claim 1, whereinthe rechargeable watchband battery is a lithium ion rechargeable battery, andnanodiamonds are provided in an electrolyte solution of the rechargeable watchband battery.8. The wristwatch band according to claim 1, wherein the bracelet portion is formed by at least two links separated from one another in a length direction of the bracelet portion.9. The wristwatch band according to claim 8, wherein the at least two links are connected by a biasing member that biases the links towards one another.10. The wristwatch band according to claim 9, wherein the at least two links are further connected by an electrical connection to pass electric current between adjacent links.11. The wristwatch band according to claim 8, whereina battery cell is provided in each of the at least two links, andthe at least two links are connected by an electrical connection to pass electric current between adjacent links.12. A charging system for a computerized watch base that tells time, comprising: a wristwatch band comprising: a bracelet portion to extend in a length direction at least partially around a wrist of a wearer, the bracelet portion having a power supply device to supply power to the computerized watch base, the power supply device comprising a rechargeable battery; anda connector element to removably secure the computerized watch base to the rechargeable watchband battery and the bracelet portion; and a charger removably connectable to the bracelet portion and the rechargeable battery, to transfer power to the rechargeable battery of the power supply device, whereinthe connector element provides a removable connection that secures the bracelet portion to the computerized watch base and transfers power from the rechargeable watchband battery to the computerized watch base such that when connected, the bracelet portion and the computerized watch base provide a continuous loop that can extend all the way around the wrist of a wearer,the bracelet portion has two ends and extends only partially around a wrist of a wearer, the wristwatch band further comprises an inductive charging portion, the inductive charging portion connecting the two ends of the bracelet portion such that bracelet portion and the inductive charging portion together extend fully around a wrist of the wearer,the connector element securing the computerized watch base to the wristwatch band at a position that abuts the inductive charging portion to an inductive charge receiving element on the computerized watch base, the charger is a wireless inductive charger to transfer power to the inductive charging portion of the power supply device,the inductive charging portion is at least partially transparent to electromagnetic fields, the wireless inductive charger simultaneously transfers power to the inductive charging portion of the power supply device and to the inductive charge receiving element on the computerized watch base when the computerized watch base is secured to the bracelet portion.13. The charging system according to claim 12, wherein the connector element comprises a pair of band connectors, the band connectors are provided at each of two ends of the bracelet portion such that the bracelet portion extends in the length direction between the two band connectors, and each band connector connects to a mating watch connector of the computerized watch base to secure the computerized watch base to the bracelet portion.