Here’s a simple visual to lock it in:
Indirect dimension (evolution time, t)
UNIFORM (full sampling):
t=0 |x|x|x|x|x|x|x|x|x|x|x|x|x|x|x|x| ... up to TD/2-1 → AQ(full)
NUS (good schedule: dense early, sparse late, but reaches long t):
t=0 |x|x| |x| | |x| | | |x| | | | x | → AQ(effective) ≈ desired
(Poisson-gap / exp-biased; includes some long-t points)
NUS (bad schedule: truncated early by too-small NusT2):
t=0 |x|x| |x| | |x| | | |x| (stops halfway)
^
longest sampled point << TD/2-1
→ AQ(effective) ≪ desired (peaks broaden)
- TD sets the full grid (max digital resolution if fully sampled).
- AQ = TD / (2·SW) is the full-evolution time if you sampled all points.
-
NusT2 caps how far along t you allow the NUS scheduler to go.
- If NUSLIST’s max index ≈ TD/2−1 → you’re reaching the designed long times.
- If it tops out much earlier → your effective AQ shrinks → broader peaks.
4D NUS Pre-Flight Checklist (TopSpin) — for HCCH-NOESY and HCNH-NOESY
A) Set chemical targets per dimension
-
Choose SW to only cover what you need
- ¹H aliphatic: ~0.5–5.5 ppm
- ¹³C aliphatic: ~0–80 ppm
- ¹⁵N (if present in other 4Ds): ~90–130 ppm
-
Pick desired AQ (ms) from relaxation + crowding
- ¹H(indirect): 4–6 ms at ~25 kDa (3–8 ms typical)
- ¹³C(indirect): 12–16 ms (10–20 ms typical)
B) Convert to TD (TopSpin relation)
- AQ = TD / (2·SW) ⇒ TD = 2·SW·AQ (SW in Hz)
- Round TD to convenient values (e.g., 64/96/128/160/192).
C) Generate NUS with correct reach
- Set
NusT2 = 2 × desired AQfor each indirect dim (critical to reach long t). - Use Poisson-gap / exp-biased schedules (dense early, sparse late, but not flat).
- %NUS (total samples): start 2–5 % for 4D NOESY at 25 kDa.
D) Balance %NUS vs NS (time budgeting)
- Keep NS per increment minimal (e.g., 8 scans).
- Prefer more unique points (higher %NUS) over cranking NS for better time-efficiency.
- S/N scales ≈ √NS; resolution comes from TD/AQ, not %NUS.
E) Sanity-check the actual NUSLIST (do this every time)
- For each indirect dim, ensure the max index ≈ TD/2 − 1 appears (at least a few entries).
- Density should decay with t (not flat).
- If max index ≪ TD/2 − 1 → increase NusT2 and regenerate.
F) Processing guards for fast-decaying ¹H(indirect)
- Apodization: QSINE (SSB 2–3) to tame t₁-noise.
- Linear Prediction (optional, conservative): forward or forward-backward, extend +10–20 % max; skip if S/N is weak or there’s a water ridge.
- Zero-fill to next power of two; mild baseline correction.
G) Quick numeric templates (25 kDa, aliphatic 4D)
- If F1 = ¹H(indirect): SW ≈ 5 kHz, AQ 5 ms → TD ≈ 50 → use 64; set
NusT2 ≈ 10 ms - ¹³C(indirect) dims (F2/F3): SW ≈ 12 kHz, AQ 14 ms → TD ≈ 336 → use 320/352;
NusT2 ≈ 28 ms - Direct ¹H (F4): TD 1024–2048 (AQ ~0.10–0.15 s)
H) One-minute pre-launch pilot
-
Start a short pilot (a few minutes), reconstruct, and check:
- F1/F2 linewidths (no truncation)
- S/N acceptable
- No obvious NUS artefacts → if issues, adjust
%NUS/NusT2/ apodization.
Same rules apply whether F1 is ¹H in HCCH or HCNH NOESY: ¹H(indirect) has short T₂ → keep AQ modest, ensure NUS reaches long-t via NusT2 = 2×AQ, and bias sampling toward early times while still touching the tail.