The Ting Tings stick at number two in the chart with 'That's Not My Name', while Madonna and Justin Timberlake's '4 Minutes', last week's number one, drops down to third position.
Meanwhile, Ireland's Eurovision entry Dustin the Turkey makes a reappearance in the top ten with 'Ireland Douze Points'. The puppet lost out in the semi-final stage of the competition this week.
Sharon Shannon's Best Of album climbs back to the top of the album chart this week, followed by Christie Hennessy's The Two Of Us at number two and The Ting Tings' debut album We Started Nothing at number three.
The top ten singles in full:
1. (5) Rihanna: 'Take A Bow'
2. (2) The Ting Tings: 'That's Not My Name'
3. (1) Madonna ft. Justin Timberlake: '4 Minutes'
4. (4) Usher ft. Young Jeezy: 'Love In This Club'
5. (3) Flo Rida ft. T-Pain: 'Low'
6. (8) Estelle ft. Kanye West: 'American Boy'
7. (6) Sam Sparro: 'Black and Gold'
8. (11) Dustin the Turkey: 'Ireland Douze Points'
9. (7) Mundy & Sharon Shannon: 'Galway Girl'
10. (10) Will.i.am ft. Cheryl Cole: 'Heartbreaker'