This article summarizes our frontier knowledge on how strings produce spin. Further articles will be more speculative and include specific recommendations for how to design a stringbed for your own game. The importance of your exact stringbed increases as:
- ball speed rises
- racket head speed rises
- specifically, tangential racket head speed rises
Quickly, let’s establish our vocabulary:
- normal velocity/deflection – perpendicular to the plane of the stringbed
- tangential velocity/deflection – parallel to the plane of the stringbed
What We Know For Sure
The truth is, we still don’t really know what creates topspin. The strings, somehow, exert an upward force on the ball which acts behind its center of mass. This creates torque and thereby topspin. How exactly this force is created, and how to design a stringbed which produces more of it when you control for swing – that’s something we don’t quite know. However, we know a few things for sure.
1. Open stringbeds create more topspin
Even when you control for overall stringbed stiffness, the more open the part of the strings which contact the ball, the more spin you will generate. This is probably because the ball deforms between openings more, which gives the strings more leverage for producing torque up the back of it.
2. Lubricated stringbeds create more topspin.
Why? No one really knows, but it’s been measured convincingly. We used to think it was “snapback” – the process by which, before the ball is released from the stringbed, freely sliding strings snap back to their original position and apply torque, but recent high-speed footage has shown that much of the spin is imparted while the strings are still stretching.
It is probably some combination of:
- less energy lost to friction while sliding
- more sliding = larger apertures = more open string pattern
3. Softer = higher launch angle.
Softer stringbeds facilitate deeper pockets, which causes the tangential component of the swing to fling the ball up more, rather than just applying a torque which rotates it.
4. Eventually, too soft = less topspin.
Again, we’re not sure exactly why, but if you go too soft in an open stringbed, topspin production will actually collapse. My guess is that the ball pockets in so deeply that the main strings slide under it, close to its COM, and then the resulting tangential load flings the ball vertically out of the string bed, instead of applying torque.
Inference, but Probably True
Counter-Spin Torque
As the ball pockets, it rolls onto the stringbed, pressing harder on the bottom than on the top. Due to this rolling action, the normal force vector out of the strings is actually below the ball’s center of mass, and so it produces a small amount of backspin torque.
This effect hasn’t been directly measured, but the TWU researchers inferred it from the data, and it’s a plausible mechanism. The result is that hitting harder in the back-to-front direction actually saps some of your topspin. The magnitude of this effect is unclear, but it is almost certainly greater the softer your stringbed and the deeper the pocket.
Pocketing and Stringbed Stiffness
When the ball hits the strings, it doesn’t just cause main-string sliding, it also causes normal deformation of both the main strings and the cross-strings. We call this deformation “the pocket”. The relative momentum of the ball and the racket, and the stringbed’s overall stiffness, combine to determine how deep or shallow the pocket is:
- Faster swings produce deeper pockets
- Slower swings produce shallower pockets
And with respect to the stringbed:
- A softer stringbed produces a deeper pocket
- A stiffer stringbed produces a shallower pocket
And while we’re here, we’ll mention the three primary attributes that determine a stringbed’s stiffness:
- the strings’ material stiffness (you can check TW compare tool)
- the strings’ tension (tighter = stiffer)
- how many strings is the ball hits during the collision (more strings = stiffer)
Stringbed Stiffness and Feel
Let’s consider the two extremes of stiffness:
- a slingshot (maximally soft)
- a 2×4 plank (maximally stiff)
Hitting with any tennis racket feels like hitting somewhere between these two extremes. Even the stiffest rackets do not truly feel as stiff as 2×4’s, and even the softest rackets do not truly feel like using a slingshot, but each racket is somewhere along a continuum from slingshot to 2×4, depending on how stiff it is.
The softer the stringbed, the more the ball’s exit velocity is coupled to the relative velocity of the racket and the ball.
The stiffer the stringbed, the more the ball’s exit velocity depends on the angle of the racket face at impact.
Players who like that feeling of “grabbing the ball and launching it” or “feeling the ball on the strings” will generally prefer softer stringbeds, stringbeds that behave closer to a slingshot than a 2×4 during pocketing. On the other hand, players who like “magic wand” feeling where they can make tiny little racket-face adjustments to place the ball exactly where they want will prefer stiffer stringbeds, where the ball is far more sensitive to the exact angle of the racket face at contact.
Control – Launch Variability
Some players incorrectly refer to something like an increased launch angle as a “loss of control,” but it’s not. As long as the launch always increases by the same amount, you can just adjust your swing, and you’ll have just as much control over the ball’s trajectory as you would have had with a lower launch angle.
Control, better defined, is the variance between launches from (effectively) the same exact swing. (Technically, on determinism, the exact same swing would produce the exact same result, but even in a laboratory setting, where they shot the ball at the string-bed the same way every time, launch behavior varied by 3-4 degrees between trials).
Softer stringbeds and deeper pockets lower control in this sense – they create larger variance from one impact to the next, even under the same impact conditions.
The Optimal Topspin Stringbed
Topspin itself is not a goal. Topspin enables certain shot trajectories which are otherwise impossible. To produce those trajectories requires very high racket head speed. To produce them, you need a stringbed which is:
- open – large apertures for the ball to sink into between strings
- stiff – resulting in a shallower pocket
- elastic – providing high energy return in the normal and tangential direction
- sliding – for whatever reason, lubrication increases spin production
Two Decades of Data
Champ’s Choice
Most of the best tennis played over the last two decades was played on the following string beds.
Natural Gut 59 lbs x Luxilon ALU Power Rough 56 lbs, 97 sq inch 16×19 (Roger Federer)
Natural Gut 59 lbs x Luxilon ALU Power Rough 56 lbs, 95 sq inch 18×20, then 18×19 (Novak Djokovic)
Natural Gut 65 lbs x Luxilon 4g 65 lbs, 102 sq inch 18×19 (Serena Williams)
Natural Gut 67 lbs x Luxilon 4g 66 lbs, 104 sq inch 18×19 (Venus Williams)
Natural Gut 55 lbs x Luxilon ALU 55 lbs, 93 sq inch 16×19 (Marin Cilic)
These are not actually topspin maximizing stringbeds, but they are extremely effective.
The natural gut main string maximizes elastic return, improving both exit velocity and also spin production at a given level of energy input. The Luxilon cross string is added to lubricate the string bed and stiffen it. Between the material stiffness of the Lux string, and the high tensions chosen for both strings, pocket depth is lowered enough that, even at high swing speeds, there is limited coupling between tangential velocity and launch due to pocketing. This allows oblique swings to add spin without adding corresponding launch, and it maximizes the coupling between the racket face angle and the ball’s ultimate launch angle.
These stringbeds are all relatively dense, but since the main string (gut) is soft, it slides out of the way during impact, opening the aperture larger, allowing sufficient spin production.
This stringbed has won 77 majors. (Del Potro, Murray, Ash Barty, Zverev played gut in the cross. If you count those, you can bump that up to 84.)
Tight, Stiff, Open Polyesters
1.35mm RPM Blast 55 lbs, 100 sq inch 16×19 (Rafael Nadal)
1.3mm 62 lb Head Hawk Touch, 100 sq inch 16×19 (Jannik Sinner)
1.30mm RPM Blast 55 lbs x 1.30mm RPM Team 53 lbs, 98 sq inch 16×20 (Carlos Alcaraz)
These stringbeds have won 34 majors.
Rafa pioneered the modern style of control – control via spin. Accept higher launch-to-launch variance, but gain ridiculous control over depth and height by doing so. Critically, these stringbeds must be stiff enough to produce shallow pockets, so that tangential racket head speed actually creates torque, not just upward normal force.
Dense Full-Poly Setups
1.30mm RPM Blast 57 lbs x 1.30mm RPM Blast 55 lbs, 95 sq inch 16×20 (Stan Wawrinka)
1.25mm RPM Power 55 lbs, 18×20 98 sq inch (Dominic Thiem)
1.25 mm Razor Code Soft 50 lbs 18×20, 95 sq inch (Daniil Medvedev)
These stringbeds have won 5 majors.
Stan Wawrinka strung so hard that he BOTH strung extremely stiff AND used quite a dense 16×20 Vcore 95 pattern. The impacts were likely violent enough that the strings sufficiently opened, which is how he still produced so much spin.
Thiem used a softer, thinner string, but at 18×20 98 sq inch, the stringbed was still extremely stiff.
Daniil Medvedev is the closest to “soft” of any major winner in the last two decades, but even he is playing an 18×20 pattern in a 95 sq inch frame.
Soft, Open Setups
These stringbeds have won 0 majors.
Not a single man has won a major with anything like, for example, a soft 1.25 mm polyester at 53 lbs in a 98 sq inch 16×19 racket, and that is not going to change. That setup does not physically provide the requisite level of spin and launch control to win at the highest level.