Lab Notebook Entry #16

Finished last Zn/I test
lab notebook
research
flow batteries
doi
Author

Kirk Pollard Smith

Published

April 22, 2026

While waiting for the cell to finish cycling, made improvements to the Arduino case on the dev kit:

Looks cleaner and is much easier to assemble, everything can be soldered separately and then installed into the case, rather than trying to solder it while partially in the case.

Stopped the test as the leakage over several days affected things too much. Started hitting the Nernst limit in the final cycles, consistent with loss of active material. On disassembly, there was no zinc, so loss must have come from the iodide, and it was the positive side that was leaking. There was also visible loss of volume. So, didn’t learn too much from this test.

Future tests I will do at higher current to higher SOC to cycle more aggressively.

This test went for 118 hours and 27 cycles, and caues of the leaks, I won’t be comparing it with the previous test. I will do a with/without argon sparging comparison with a tighter setup at higher current/SOC.

Code
import pandas as pd
from tqdm import tqdm, notebook
import numpy as np
import scipy
import plotly.express as px
import plotly.graph_objects as go
from plotly.subplots import make_subplots
import kaleido
from IPython.display import Image

tqdm_disabled = True  # True for website, change to False for local work

sampling = True

MIN_POINTS0 = 500
DIFF_LIMIT = 0.1


# electrolyte component masses, in g
MASS_ZnCl2  = 1.38
MASS_NH4Cl  = 1.06
MASS_KI     = 3.32
MASS_H2O    = 8.50
MASS_TriEG  = 0.55

total_mass_kg = (MASS_ZnCl2 + MASS_KI + MASS_H2O + MASS_TriEG) / 1000.0

TOTAL_VOLUME = 11  # electrolyte volume in mL, approx, measured by taking as much electrolyte as possible up into a 12 mL syringe

MASS_TO_RESERVOIRS = 14.60  # g of electrolyte actually loaded into system, based on weighing syringe before/after loading reservoirs
# molecular weights in g/mol

density = MASS_TO_RESERVOIRS / TOTAL_VOLUME

MW_ZnCl2 = 136.315
MW_NH4Cl = 53.49
MW_KI = 166.0028
MW_H2O = 18.01528
MW_TriEG = 150.174

molality_ZnCl2 = MASS_ZnCl2 / MW_ZnCl2 / total_mass_kg
molality_NH4Cl = MASS_NH4Cl / MW_NH4Cl / total_mass_kg
molality_KI = MASS_ZnCl2 / MW_KI / total_mass_kg
molality_TriEG = MASS_TriEG / MW_TriEG / total_mass_kg
molality_H2O = MASS_H2O / MW_H2O / total_mass_kg

molarity_ZnCl2 = MASS_ZnCl2 / MW_ZnCl2 / TOTAL_VOLUME * 1000.0
molarity_NH4Cl = MASS_NH4Cl / MW_NH4Cl / TOTAL_VOLUME * 1000.0
molarity_KI = MASS_ZnCl2 / MW_KI / TOTAL_VOLUME * 1000.0
molarity_TriEG = MASS_TriEG / MW_TriEG / TOTAL_VOLUME * 1000.0
molarity_H2O = MASS_H2O / MW_H2O / TOTAL_VOLUME * 1000.0


filenames = [
    "../lab-notebook-15/16-04-2026-KPS-22.zip",
]


all_data = []
for f in filenames:
    if len(all_data) == 0:
        all_data.append(pd.read_csv(f, delimiter="\t").dropna())
    else:
        df0 = pd.read_csv(f, delimiter="\t").dropna()
        df0["Elapsed time(s)"] += all_data[-1]["Elapsed time(s)"].iat[-1]
        all_data.append(df0)


df = pd.concat(all_data, ignore_index=True)

if not tqdm_disabled:
    print("Electrolyte Composition:")

    print(
        "Molarities (moles/L solution): {:.2f} M ZnCl~2~, {:.2f} M NH~4~Cl, {:.2f} M KI, {:.2f} M triethylene glycol, {:.2f} M H~2~O\n".format(
            molarity_ZnCl2, molarity_NH4Cl, molarity_KI, molarity_TriEG, molarity_H2O
        )
    )
    print(
        "Molalities (moles/kg solution): {:.2f} m ZnCl~2~, {:.2f} m NH~4~Cl, {:.2f} m KI, {:.2f} m triethylene glycol, {:.2f} m H~2~O\n".format(
            molality_ZnCl2, molality_NH4Cl, molality_KI, molality_TriEG, molality_H2O
        )
    )
    print("Density approx. {:.1f} g/mL\n".format(density))
    print(
        "Experiment length: {:.1f} hours".format(
            all_data[-1]["Elapsed time(s)"].iat[-1] / 3600.0
        )
    )


df["mean_current"] = df["Current(A)"].rolling(3).mean()
df["prev_current"] = df["mean_current"].shift(-1)
df["VChange"] = df["Potential(V)"].diff().abs()
df["is_change"] = (
    ((df["mean_current"] > 0) & (df["prev_current"] < 0))
    | ((df["mean_current"] < 0) & (df["prev_current"] > 0))
).astype(int)

idx_changes = list(df[df["is_change"] == 1].index)
idx_changes.append(len(df) - 1)

all_curves = []
idx_start = 0
for idx in tqdm(idx_changes, disable=tqdm_disabled):
    if len(df.iloc[idx_start:idx, :]) > 50:
        all_curves.append(df.iloc[idx_start:idx, :])
    idx_start = idx

results = []
n_curves = np.max([1, int(np.floor(len(all_curves) / 2))])

for CN in notebook.tnrange(n_curves, disable=tqdm_disabled):
    CURVE_N1 = CN * 2
    CURVE_N2 = CN * 2 + 1

    # Process charge data

    if sampling:
        N_TERM_POINTS = int(np.min([MIN_POINTS0, len(all_curves[CURVE_N1]) / 2.0]))
        MIN_POINTS = int(
            np.min([MIN_POINTS0, len(all_curves[CURVE_N1]) - N_TERM_POINTS * 2])
        )

        df0 = pd.concat(
            [
                all_curves[CURVE_N1].iloc[:N_TERM_POINTS],
                all_curves[CURVE_N1]
                .iloc[N_TERM_POINTS:-N_TERM_POINTS]
                .sample(n=MIN_POINTS),
                all_curves[CURVE_N1].iloc[-N_TERM_POINTS:],
            ]
        ).sort_values("Elapsed time(s)", ascending=True)
        df0 = df0[df0["VChange"] < DIFF_LIMIT]
    else:
        df0 = all_curves[CURVE_N1].copy()
    df0["mAh"] = np.abs(
        scipy.integrate.cumulative_trapezoid(
            df0["Current(A)"], df0["Elapsed time(s)"], initial=0
        )
        * 1000.0
        / 3600.0
    )
    total_energy0 = scipy.integrate.cumulative_trapezoid(
        df0["Current(A)"].abs() * df0["Potential(V)"],
        df0["Elapsed time(s)"],
        initial=0.0,
    )[-1]

    # Process discharge data
    if sampling:
        N_TERM_POINTS = int(np.min([MIN_POINTS0, len(all_curves[CURVE_N2]) / 2.0]))
        MIN_POINTS = int(
            np.min([MIN_POINTS0, len(all_curves[CURVE_N2]) - N_TERM_POINTS * 2])
        )
        df1 = pd.concat(
            [
                all_curves[CURVE_N2].iloc[:N_TERM_POINTS],
                all_curves[CURVE_N2]
                .iloc[N_TERM_POINTS:-N_TERM_POINTS]
                .sample(n=MIN_POINTS),
                all_curves[CURVE_N2].iloc[-N_TERM_POINTS:],
            ]
        ).sort_values("Elapsed time(s)", ascending=True)
        df1 = df1[df1["VChange"] < DIFF_LIMIT]
    else:
        df1 = all_curves[CURVE_N2].copy()

    df1["mAh"] = np.abs(
        scipy.integrate.cumulative_trapezoid(
            df1["Current(A)"], df1["Elapsed time(s)"], initial=0.0
        )
        * 1000.0
        / 3600.0
    )
    total_energy1 = scipy.integrate.cumulative_trapezoid(
        df1["Current(A)"].abs() * df1["Potential(V)"],
        df1["Elapsed time(s)"],
        initial=0.0,
    )[-1]

    CE = 100.0 * (df1["mAh"].iloc[-1] / df0["mAh"].iloc[-1])
    EE = 100.0 * (total_energy1 / total_energy0)
    VE = 100.0 * EE / CE
    results.append(
        {
            "Number": CN + 1,
            "CE": CE,
            "VE": VE,
            "EE": EE,
            "Charge_potential": df0["Potential(V)"].mean(),
            "Discharge_potential": df1["Potential(V)"].mean(),
            "Charge_stored": df1["mAh"].iloc[-1] / TOTAL_VOLUME,
            "Energy_density_discharge": total_energy1 / TOTAL_VOLUME / 3600.0 * 1000,
        }
    )

    # Save the modified DataFrames back to the all_curves list
    all_curves[CURVE_N1] = df0
    all_curves[CURVE_N2] = df1

results_df = pd.DataFrame(results)

if not tqdm_disabled:
    print(results_df)
    print("")
    print(results_df.mean())


# Color gradient for charge curves
charge_colors = [
    px.colors.sequential.Blues[int(i)]
    for i in np.linspace(3, len(px.colors.sequential.Blues) - 1, n_curves)
]
discharge_colors = [
    px.colors.sequential.Greys[int(i)]
    for i in np.linspace(3, len(px.colors.sequential.Greys) - 1, n_curves)
]


# Plot charge/discharge curves
fig1 = go.Figure()
for CN in range(n_curves):

    CURVE_N1 = CN * 2
    CURVE_N2 = CN * 2 + 1
    fig1.add_trace(
        go.Scatter(
            x=all_curves[CURVE_N1]["mAh"] / TOTAL_VOLUME,
            y=all_curves[CURVE_N1]["Potential(V)"],
            mode="lines",
            name=f"Charge {CN+1}",
            line=dict(color=charge_colors[CN], dash="solid"),
            showlegend=False,
        )
    )
    fig1.add_trace(
        go.Scatter(
            x=all_curves[CURVE_N2]["mAh"] / TOTAL_VOLUME,
            y=all_curves[CURVE_N2]["Potential(V)"],
            mode="lines",
            name=f"Discharge {CN+1}",
            line=dict(color=discharge_colors[CN], dash="solid"),
            showlegend=False,
        )
    )
fig1.update_layout(
    xaxis_title="Capacity (Ah/L)",
    yaxis_title="Potential (V)",
    legend=dict(orientation="h", yanchor="bottom", y=0.02, xanchor="right", x=0.99),
    hoverlabel=dict(
        bgcolor="white",
    ),
    xaxis=dict(range=[-1, 10]),
    yaxis=dict(range=[-.49, 1.8]),


)

fig1.add_trace(
    go.Scatter(
        x=[None],
        y=[None],
        mode="lines",
        line=dict(color=charge_colors[0], dash="solid"),
        name="Charge (cycle 1)",
    )
)
fig1.add_trace(
    go.Scatter(
        x=[None],
        y=[None],
        mode="lines",
        line=dict(color=charge_colors[-1], dash="solid"),
        name=f"Charge (cycle {n_curves})",
    )
)
fig1.add_trace(
    go.Scatter(
        x=[None],
        y=[None],
        mode="lines",
        line=dict(color=discharge_colors[0], dash="solid"),
        name="Discharge (cycle 1)",
    )
)
fig1.add_trace(
    go.Scatter(
        x=[None],
        y=[None],
        mode="lines",
        line=dict(color=discharge_colors[-1], dash="solid"),
        name=f"Discharge (cycle {n_curves})",
    )
)

fig1.show()
Figure 1: Charge/discharge curves
Code
# Plot efficiency
fig2 = px.scatter(
    results_df,
    x="Number",
    y=["VE", "CE", "EE"],
    labels={"value": "Efficiency (%)", "variable": "Metric"},
)
fig2.update_traces(mode="markers")


fig2.update_layout(
    yaxis=dict(range=[-10, 100]),
    legend=dict(
        orientation="v",
        yanchor="bottom",
        y=0.02,
        xanchor="right",
        x=0.99
    )
)


fig2.show()
Figure 2: Charge/discharge efficiencies
Code
fig5 = px.scatter(
    results_df,
    x="Number",
    y="Energy_density_discharge",
    labels={
        "Energy_density_discharge": "Energy Density on Discharge (Wh/L)",
        "Number": "Cycle Number",
    },
    range_y=[0,1.2*max(results_df["Energy_density_discharge"])]
)

max_val = results_df["Energy_density_discharge"].max()
mean_val = results_df["Energy_density_discharge"].mean()

fig5.add_hline(y=max_val, line_dash="dash", line_color="black", annotation_text="Max", annotation_position="top right",annotation_font_size = 10)
fig5.add_hline(y=mean_val, line_dash="dash", line_color="blue", annotation_text="Mean", annotation_position="top right",annotation_font_size = 10)
fig5.add_hline(y=0.8*max_val, line_dash="dash", line_color="red", annotation_text="80% Max", annotation_position="top right",annotation_font_size = 10)

fig5.show()
Figure 3: Discharge energy densities
Code
norm_charge = results_df["Charge_potential"] / results_df["Charge_potential"].iloc[0]
norm_discharge = results_df["Discharge_potential"] / results_df["Discharge_potential"].iloc[0]

fig6 = go.Figure()
fig6.add_trace(go.Scatter(
    x=results_df["Number"],
    y=norm_charge,
    mode="lines+markers",
    name="Charge Potential"
))
fig6.add_trace(go.Scatter(
    x=results_df["Number"],
    y=norm_discharge,
    mode="lines+markers",
    name="Discharge Potential"
))
fig6.update_layout(
    xaxis_title="Cycle Number",
    yaxis_title="Normalized Potential",
    legend=dict(
        orientation="v",
        yanchor="top",
        y=0.95,
        xanchor="left",
        x=0.05
    )
)

fig6.show()
Figure 4: Average charge and discharge potentials normalized to first cycle
Code
table_df = (
    results_df.describe().loc[["mean", "std"]]
    .round(decimals=1)
    .drop(columns=["Number", "Charge_potential", "Discharge_potential"])
    .rename(
        columns={
            "CE": "Coulombic Efficiency (%)",
            "EE": "Energy Efficiency (%)",
            "VE": "Voltaic Efficiency (%)",
            "Charge_stored": "Discharge Capacity (Ah/L)",
            "Energy_density_discharge": "Energy Density (Wh/L)",
        }
    )
)

# Bar chart of efficiencies with error bars
eff_cols = ["Coulombic Efficiency (%)", "Voltaic Efficiency (%)", "Energy Efficiency (%)"]
eff_labels = ["Coulombic", "Voltaic", "Energy"]

means = table_df.loc["mean", eff_cols].values
stds = table_df.loc["std", eff_cols].values
Code
fig6 = go.Figure()
fig6.add_trace(go.Bar(
    x=eff_labels,
    y=means,
    error_y=dict(type="data", array=stds, visible=True),
    name="Efficiency",
    marker_color=["#1f77b4", "#ff7f0e", "#2ca02c"]
))
fig6.update_layout(
    yaxis_title="Efficiency (%)",
    yaxis=dict(range=[0, 100])
)
fig6.show()
Figure 5: Mean efficiency values with standard deviation
Code
cap_cols = ["Discharge Capacity (Ah/L)"]
cap_labels = ["Discharge Capacity"]

cap_means = table_df.loc["mean", cap_cols].values
cap_stds = table_df.loc["std", cap_cols].values

ed_cols = ["Energy Density (Wh/L)"]
ed_labels = ["Energy Density"]

ed_means = table_df.loc["mean", ed_cols].values
ed_stds = table_df.loc["std", ed_cols].values

fig_combined = make_subplots(rows=1, cols=2)

fig_combined.add_trace(
    go.Bar(
        x=cap_labels,
        y=cap_means,
        error_y=dict(type="data", array=cap_stds, visible=True),
        name="Capacity",
        marker_color="#1f77b4"
    ),
    row=1, col=1
)

fig_combined.add_trace(
    go.Bar(
        x=ed_labels,
        y=ed_means,
        error_y=dict(type="data", array=ed_stds, visible=True),
        name="Energy Density",
        marker_color="#2ca02c"
    ),
    row=1, col=2
)
top = max(max(cap_means + cap_stds), max(ed_means + ed_stds))*1.1
fig_combined.update_layout(
    yaxis=dict(title="Discharge Capacity (Ah/L)"),
    yaxis2=dict(title="Energy Density (Wh/L)", anchor="x2", overlaying="y", side="left"),
    yaxis_range=[0, top],
    yaxis2_range=[0, top],
    showlegend=False
)
fig_combined.show()
Figure 6: Mean discharge capacity and energy density values with standard deviation

Citation

BibTeX citation:
@online{smith2026,
  author = {Smith, Kirk Pollard},
  title = {Lab {Notebook} {Entry} \#16},
  date = {2026-04-22},
  url = {https://dualpower.supply/posts/lab-notebook-16/},
  langid = {en}
}
For attribution, please cite this work as:
K.P. Smith, Lab Notebook Entry #16, (2026). https://dualpower.supply/posts/lab-notebook-16/.