How to Perform PUND Measurements — A Beginner’s Lab Manual
In the previous blog, we have learnt that how conventional ferroelectric measurement can disguise the true ferroelectricity behavior. Also, we have learnt what were the possible artefacts contributing to non-switching current and can mislead the true identification of the material as ferroelectrics. This article provides a detailed understanding of PUND analysis, a powerful technique for eliminating the effects of non-switching currents. Additionally, a step-by-step guide to its pulse measurement procedure is thoroughly presented.
PUND — short for Positive-Up Negative-Down refers to a specific pulse sequence applied during testing that separates true ferroelectric switching from non-ferroelectric effects. If you’re just getting started in ferroelectric research, this technique might seem confusing at first. But don’t worry — this beginner’s manual will walk you through the purpose, setup, and step-by-step procedure for performing PUND measurements accurately in your lab. Whether you’re a student, a scholar, or just curious about material characterization, this guide is designed to get you hands-on and confident with PUND.
Table of Contents
Key Advantages of PUND Measurements
The advantages of PUND analysis over conventional ferroelectric measurements, such as simple P-E hysteresis loops, are significant. Let’s explore these benefits:
- Eliminates contributions from leakage currents.
- Removes dielectric displacement effects.
- Accounts for parasitic capacitance.
- High accuracy in thin films or leaky ferroelectrics
Step-by-Step Guide to PUND Analysis for Ferroelectric Materials
The following section outlines the step-by-step procedure for performing PUND analysis in a precise and systematic manner
Step 1: Setup and Preparation
Requirements:
- Ferroelectric sample with electrodes (e.g., Pt/PZT/Pt or BNT/BiFeO₃/SRO).
- Pulse measurement setup: Pulse generator + current integrator or Precision ferroelectric analyser (e.g., Radiant Technologies, aixACCT TF Analyzer 3000, Keithley 4200A-SCS with pulse module).
- Good electrical contact (no floating or broken interfaces).
- Calibration done (voltage/current accuracy).
Step 2: Sample Preparation
- The sample used for PUND measurement should be a well-sintered ferroelectric thin film or bulk ceramics with uniform thickness and smooth surface.
- An important aspect to note here is; sintering is not applicable for ferroelectric polymer samples; instead, these samples are annealed during preparation process at the specific temperatures as required.
- Electrodes must be carefully deposited (commonly Pt, Au, or Ag) on both sides to ensure reliable electrical contact for pulse application.
- Electroding is essential to establish a stable and uniform electrical contact between the measuring system and the ferroelectric sample. It ensures accurate application of voltage pulses and reliable detection of polarization response during PUND measurements.
Step 3: Setup Configuration
- Connect the sample to the ferroelectric tester system and configure the pulse parameters.
- Ensure proper grounding and shielding to minimize noise.
- The voltage amplitude must be chosen depending upon the breakdown strength of the samples. (e.g., typically, ±5–10 V for thin films, ±20-30 KV for ceramics samples and ~ 600-900 KV for polymer samples.)
- Pulse width, delay, and amplitude should be optimized based on the material’s coercive field and dielectric behaviour.
- Delay between pulses: Depends on the sample polarization with respect to the waveform applied. (e.g., typically, ~ 1ms to 10 ms to allow recovery.)
Step 4: Understand the Pulse Sequence
PUND (Positive-Up Negative-Down) is a pulse measurement technique designed to separate switching and non-switching polarization components, and understanding its pulse sequence is key to interpreting accurate ferroelectric behavior.
- P pulse: Apply a positive switching pulse +Vmax which measures total polarization of the sample from -Vmax to +Vmax that includes all the switching polarization, non- switching polarization due to leakage currents and polarization created by the displacement currents while measuring the sample as capacitors.
- U pulse: It is the second identical positive pulse which measures the non-switching polarization only covering the effects other than ferroelectric domain switching such as leakage current, interfacial charges, dielectric displacement currents contributions or parasitic capacitance etc.
- N pulse: A negative pulse is applied to reverse the direction of polarization of the ferroelectric sample. This pulse helps to measure the total polarization in the opposite direction from +Vmax to -Vmax.
- D pulse: This is the second identical negative pulse which reads the contribution of non-switchable polarization only in negative external field direction.
Each of these waveforms is applied in square waveform, meaning the field remains constant during the pulse and sharply changes to the next level.
Application of voltage with square waveform provide longer polarization time and hence execute more accurate polarization values. This reflects the real condition in a better way and more accurately.
About Square Waveform
A square waveform is a type of periodic signal that alternates abruptly between two fixed voltage levels—typically a high (positive) and a low (negative or zero)—with a constant duration at each level. It is characterized by its sharp transitions, equal time spent in high and low states (for 50% duty cycle), and flat tops and bottoms.
Square waveforms are generated using function generators or digital pulse circuits, and they are widely used in electronic testing, digital clocks, and ferroelectric material analysis (like PUND).
Graphically, a square wave appears as a series of horizontal lines at the high and low voltage levels, connected by vertical jumps at regular intervals—forming a pattern that looks like a sequence of squares or steps. The x-axis represents time, while the y-axis shows the voltage amplitude.
A square waveform is a type of non-sinusoidal periodic waveform that alternates between two fixed amplitude levels—high and low—with an equal duration spent at each level (in the case of a 50% duty cycle). It is a special case of a rectangular wave and is often used in digital electronics, timing circuits, and signal processing. The waveform alternates between two voltage levels at a fixed frequency. In a digital circuit, this translates to switching between logic 0 and logic 1.
What PUND analysis does?
The process begins with the application of a sequence of five pulses of square waveform to the sample and the obtained current transients are measured. These sequences of pulses allowed us to separate the switching and non-switching current response.
The first pulse (-Vmax) is the preset pulse to initiate the sample into polarization state. No measurement has been made as a result of this pulse.
The second (Vmax) pulse measured the Remnant and non-remnant Polarization in the direction. It is a switching pulse.
The third (Vmax) pulse measured (Non-remnant Polarization). It is non-switching in nature.
The fourth (-Vmax) pulses measured Remnant + Non- remnant Polarization) in the -Vmax state. It is a Switching Pulse
The fifth (-Vmax) pulses measured Non-remnant Polarization. It is a Non- Switching Pulse.
N.B: A non-switching pulse is applied after every pulse.
And therefore, eight measured parameters are observed during the complete analysis, commonly found in ferroelectric literature. These parameters are as follows:
Case Study
In this case study, I have selected a PVDF-HFP thin film to demonstrate the PUND measurement, along with example parameters specific to this ferroelectric polymer.
Example Parameters for PVDF-HFP polymer thin film are:
Voltage amplitude: 2700 volt.
Applied Electric Field: 900 KV/cm.
Pulse width: 100 ms.
Delay between pulses: 10 ms.
Electrode area: 90 mm2
Thickness of sample: 30 µm.
Integrator range: nC to µC
Tips for Accurate Measurements
- Use a short delay between pulses to avoid charge trapping effects.
- Repeat the PUND cycle several times to assess fatigue or degradation.
- Test under different temperatures or frequencies for deeper insight.
Step 5: Data Collection and Data Analysis
Measure the polarization (charge) response during each pulse and analyze the data as discussed below.
Data Table:
PUND Pulses | Pulse sequence
| Applied Pulse sequence
(x-axis) | Voltage (V) State
| Voltage Applied
| Measured polarization parameters
| Measure values (Y-axis) (mC/m2) |
| 0 | 0.0 | HIGH State | -Vmax | None (No measurement) |
|
1.0 |
|
| 0.0 |
| ||
P | 1 | 1.0001 | HIGH State | Vmax | P* (Remnant + Non- remnant Polarization) Switching Pulse | 10.66 |
| 2.0 |
|
| P*
| 10.66 | |
2 | 2.0001 | HIGH State | 0.0 | P*r (switchable remnant polarization + non-switchable remnant polarization) | 4.31 | |
| 3.0 |
|
| P*r
| 4.31 | |
U | 3 | 3.0001 | HIGH State | Vmax | P^ (Non-remnant Polarization) Non- Switching Pulse | 8.18 |
| 4.0 |
|
| P^
| 8.18 | |
4 | 4.0001 | HIGH State | 0.0 | P^r (non-switchable remnant polarization) | 1.84 | |
| 5.0 |
|
| P^r
| 1.84 | |
N | 5 | 5.0001 | HIGH State | -Vmax | -P* (Remnant + Non- remnant Polarization) Switching Pulse | -10.86 |
| 6.0 |
|
| -P*
| -10.86 | |
| 6 | 6.0001 | HIGH State | 0.0 | -P*r (switchable remnant polarization + non-switchable remnant polarization) | -4.68
|
| 7.0 |
|
| -P*r
| -4.68
| |
D | 7 | 7.0001 | HIGH State | -Vmax | -P^ (Non-remnant Polarization) Non- Switching Pulse | -8.08 |
| 8.0 |
|
| -P^
| -8.08 | |
| 8 | 8.0001 | HIGH State | 0.0 | -P^r (non-switchable remnant polarization) | -1.82 |
| 9.0 |
|
| -P^r
| -1.82 | |
| 9 | 9.0001 | HIGH State |
|
|
|
Step 6: Plotting the graph:
To visualize the results of the PUND measurement, take the applied pulse sequence and place it on the x-axis, and use the corresponding measured polarization values on the y-axis. You can then plot the graph using software like Origin or any other reliable graphing tool. This graphical representation helps in clearly observing the switching and non-switching components of polarization
Step 7: Data Analysis
The true switchable (remnant polarization) polarization is calculated using the equation 1 and 2:
dP = P*– P^ ……………………… (1)
dPr = Pr*– Pr^ ……………………. (2)
Where,
P* = (switchable polarization + non-switchable polarization) and
P^ = non-switchable polarization.
Pr*= (switchable remnant polarization + non-switchable remnant polarization)
Pr^ = non-switchable remnant polarization
Theoretically the values of dP and dPr lies in the same range but experimentally it often differs.
Sample annealing temperature | (Remnant polarization + Non-Remnant polarization) (mC/m2) | Switchable remnant Polarization Pr* | Non-Remnant polarization | Non-Switchable remnant Polarization Pr^ | Switchable Polarization
dP = P*– P^ | Switchable Polarization
dPr = Pr*– Pr^ | Polarization switched (%) |
85°C | 10 | 3.5 | 8.18 | 1.84 | 1.82 | 1.66 | 16.5 |
= (switchable polarization + non-switchable polarization) – (non-switchable polarization)
= switchable polarization or Remanent only
= (switchable remnant polarization + non-switchable remnant polarization) – (non- switchable remnant polarization) = Remanent only
Step 8: Interpretation
A large difference between P and U or N and D confirms genuine ferroelectric switching. Small or zero difference suggests leakage or non-ferroelectric behavior.
In a PUND test, polarization produced by the non-switching pulses does not go back to zero after the removal of field. The reason behind is that these polarizations are not due to intrinsic dipoles. They are contributed by leakage currents, or the capacitive effect which are not reversible. These values are labelled ± on Radiant Technologies’ testers.
Why PUND Is Scientifically Superior ?
PUND effectively isolates the switchable polarization component by separating switching and non-switching responses in the time domain. When a ferroelectric domain switches direction under an applied pulse, it generates a sharp transient current due to polarization reversal. In contrast, dielectric and leakage responses are slower, continuous, and appear during both switching and non-switching pulses. By subtracting the non-switching (U) response from the switching (P) response, PUND eliminates the influence of these non-domain-related currents. This time-resolved technique allows for a more accurate assessment of intrinsic ferroelectric behavior, making PUND a true probe of functional properties—unlike traditional P-E loops that rely mainly on loop shape interpretation.
Conclusion
In conclusion, PUND analysis stands out as a powerful and dependable technique for distinguishing genuine ferroelectric switching from experimental artifacts. By carefully following a standardized, step-by-step procedure, researchers can confidently assess and validate the true ferroelectric behavior of emerging materials and devices. This method not only enhances the accuracy of polarization measurements but also supports the development of next-generation ferroelectric technologies.
Glossary
P*= This represents switching + non-switching polarization and contains both remnant and non-remnant components.
Pr*= Sample response at zero volts after the application of first pulse at Vmax.
P^= Non-switching polarization and contains only the non-remnant components.
Pr^= Sample response at zero volts after the application of 2nd pulse at Vmax.
-P*= This represents switching + non-switching polarization and contains both remnant and non-remnant components in the reverse polarity.
-Pr*= Sample response at zero volts after the application of third pulse at -Vmax.
-P^= Non-switching polarization and contains only the non-remnant components in the reverse polarity.
-Pr^= Sample response at zero volts after the application of 4th pulse at –Vmax.
References
[1] Ferrodevices, Main Vision Manual IV: Tutorials. Vision software user manual. [Online]. Available: https://www.ferrodevices.com/download/5894/main-vision-manual-iv-tutorials.pdf (accessed Nov. 30, 2025).
[2] R. Verma and S. K. Rout, “Influence of annealing temperature on the existence of polar domain in uniaxially stretched polyvinylidene-co-hexafluoropropylene for energy harvesting applications,” J. Appl. Phys., vol. 128, no. 23, Art. no. 234104, Dec. 2020, doi: 10.1063/5.0022463.
[3] R. Verma and S. K. Rout, “Frequency-dependent ferro–antiferro phase transition and internal bias field influenced piezoelectric response of donor and acceptor doped bismuth sodium titanate ceramics,” J. Appl. Phys., vol. 126, no. 9, Art. no. 094103, Sep. 2019, doi: 10.1063/1.5111505.
[4] R. Verma and S. K. Rout, “The Mystery of Dimensional Effects in Ferroelectricity,” in Recent Advances in Multifunctional Perovskite Materials, P. Sharma and A. Kumar, Eds. London, U.K.: IntechOpen, 2022, doi: 10.5772/intechopen.104435.
If you notice any inaccuracies or have constructive suggestions to improve the content, I welcome your feedback. It helps maintain the quality and clarity of this educational resource.
Dr. Rolly Verma
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2 thoughts on “How to Perform PUND Measurements — A Beginner’s Lab Manual”
Hello Ma’am. I have been trying P-E loop measurement on my sample (thin films), but the loops i have obtained (majorly the loop is broken) shows exceptionally high polarization values (2000-2500 microC/cm2). I have done PUND measurement the remnant polarization I have obtained is around 3-4 microC/cm2. I am trying to optimize the sample to get a proper loop with reasonable polarization values. But so far I am not able to obtain a proper data. Any suggestion from you will be highly appreciable.
I am using Radiant technologies, i have prepared samples with spin coating with thickness of 40-50 nm on ITO substrate, I am using Gallium indium eutectic as my bottom and top electrodes.
Hello Payal,
Thank you for your detailed and thoughtful question. This is a very common—and important—issue in thin-film ferroelectric measurements, and you are absolutely right to cross-validate P–E loop data with PUND analysis.
Based on your description, the exceptionally high polarization values obtained from the P–E loops (~2000–2500 µC/cm²) are not physically realistic for ferroelectric thin films. Such values strongly indicate that the measured loop is dominated by non-switching contributions, including leakage current, capacitive charging, and electrode-related effects. In contrast, the remnant polarization obtained from your PUND measurement (~3–4 µC/cm²) is far more reasonable and should be considered a much closer representation of the intrinsic ferroelectric response of your film.
A few important points to consider while optimizing your measurements:
1. In very thin films (≈40–50 nm), distorted or broken P–E loops are commonly observed due to a combination of high leakage current, imperfect electrode interfaces, and non-uniform electric fields.
2. The use of liquid gallium–indium eutectic as both top and bottom electrodes can further complicate the measurement. It has various limitations at the nm scale. Liquid electrodes often introduce unstable contact areas, additional series resistance, and parasitic capacitance. These effects can severely distort P–E loops, even though PUND measurements may still appear relatively cleaner.
3. For ferroelectric films in the 40–50 nm thickness range, solid electrodes are strongly recommended if your goal is to extract meaningful polarization values. Liquid Ga–In can be useful as a preliminary or temporary contact, but it should not be relied upon for final conclusions. However, proceed carefully, just remember that ITO is not a perfect metal, so interface effects must be interpreted carefully, not ignored.
4. At this stage, the PUND result should be treated as the more reliable indicator of ferroelectric switching. A low PUND polarization combined with an inflated P–E loop almost always signifies that the loop is leakage-dominated rather than polarization-dominated.
5. Before attempting further loop optimization, focus on reducing leakage. This may involve lowering the applied electric field, optimizing the measurement frequency, or improving film quality through suitable annealing (if compatible with your material system).
• During optimization, it is crucial to apply the electric field gradually rather than sweeping directly to a high field. Increasing the field step-by-step—from a low value toward saturation or breakdown—helps clearly identify the onset of switching, leakage, or dielectric failure, and avoids artificial loop distortion caused by sudden high-field stressing.
• Measurements should also be performed at a sufficiently low frequency appropriate for your material system. If the frequency is too high, leakage and capacitive currents can dominate the response, especially in ultrathin films, leading to exaggerated polarization values. Joint optimization of frequency and field amplitude is therefore essential.
• Finally, it is important to remember that for many thin-film ferroelectrics—particularly at nm-scale thicknesses—a perfectly “textbook-like” P–E loop is not always achievable. In such cases, PUND analysis becomes essential and is often preferred in research publications for reporting reliable remnant polarization values.
You are approaching this problem in exactly the right way by comparing P–E and PUND results. I encourage you to continue focusing on leakage suppression and interface optimization, and to rely more strongly on PUND data for intrinsic polarization assessment.
I hope this clarifies your observations. Please feel free to share further results if you would like to discuss them.
Best regards,
Dr. Rolly Verma
Advance Materials Lab